The image above represents the magnetic flux density/field induction.

To compute the magnetic force of a field, four essential parameters are needed and the parameters are Magnetic Force (F), Quantity of Charge (q), Average Velocity of the Charge (v) and Angle between v and B (θ).

The formula for calculating the magnetic flux density/field induction:

B = ^{F} / _{qVsinθ}

Where;

B = Magnetic Induction or Magnetic Flux Density

F = Magnetic Force

q = Quantity of Charge

v = Average Velocity of the charge

θ = Angle between v and B

Let’s solve an example;

Find the magnetic flux density/field induction of a field when Magnetic Force (F) is 17, Quantity of Charge (q) is 21, Average Velocity of the Charge (v) is 15 and Angle between v and B (θ) is 120°.

This implies that;

F = Magnetic Force = 17

q = Quantity of Charge = 21

v = Average Velocity of the charge = 15

θ = Angle between v and B = 120°

B = ^{F} / _{qVsinθ}

B = ^{17} / _{(21 x 15)(sin 120°)}

B = ^{17} / _{(315)(0.866)}

B = ^{17} / _{(272.79)}

B = 0.0623

Therefore, the **magnetic flux density/field induction** is **0.0623 Tesla.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the magnetic flux density/field induction.

To get the answer and workings of the magnetic flux density/field induction using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Magnetic field **under the **Physics** section

Now, Click on **Magnetic Flux density/field induction** under **Magnetic Field**

The screenshot below displays the page or activity to enter your values, to get the answer for the magnetic flux density/field induction according to the respective parameters which are the **Magnetic Force (F)**, **Quantity of Charge (q)**, **Average Velocity of the Charge (v)** and **Angle between v and B (θ).**

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **Magnetic Force (F)** is **17**, **Quantity of Charge (q)** is **21**, **Average Velocity of the Charge (v)** is **15** and **Angle between v and B (θ)** is **120°**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the magnetic flux density/field induction and presents the formula, workings and steps too.

The image above represents the quantity of charge.

To compute the quantity of charge, two essential parameters are needed and the parameters are current (I) and time (t).

The formula for calculating the quantity of charge;

Q = It

Where;

Q = Quantity of Charge

I = Current

t = Time

Let’s solve an example;

Find the quantity of charge when the current (I) is 24 amp with a time of 8 secs.

This implies that;

I = Current = 24 amp

t = Time = 8 secs

Q = It

Q = 24 x 8

Q = 192

Therefore, the **quantity of charge** is **192 coulombs (C).**

**Calculating the Current (I) of a charge using the Quantity of Charge (Q) and the time (t).**

I = ^{Q} / _{t}

Where;

I = Current

Q = Quantity of the charge

t = Time

Let’s solve an example;

Find the current of a charge with the quantity of the charge as 150 coulombs (C) and time as 15 secs.

This implies that;

Q = Quantity of the charge = 150 C

t = Time = 15 secs

I = ^{Q} / _{t}

I = ^{150} / _{15}

I = 10

Therefore. the **current** is **10 Ampere (A).**

**Calculating the Time (t) of a charge using the Quantity of the charge (Q) and the Current (I).**

t = ^{Q} / _{I}

Where;

t = Time

Q = Quantity of charge

I = Current

Let’s solve an example;

Find the time of a charge when the quantity of the charge is 250 C with a current of 18 A.

This implies that;

Q = Quantity of charge = 250

I = Current = 18

t = ^{Q} / _{I}

t = ^{200} / _{18}

t = 11.1

Therefore, the **time** is **11.1 secs.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the quantity of charge.

To get the answer and workings of the quantity of charge using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Electrolysis **under the **Physics** section

Now, Click on **Quantity of Charge **under **Electrolysis**

The screenshot below displays the page or activity to enter your values, to get the answer for the quantity of charge according to the respective parameters which are the **current (I)** and **time (t). **

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **current (I)** is **24 **and **time (t)** is **8**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the quantity of charge and presents the formula, workings and steps too.

The image above represents magnetic force.

To compute the magnetic force of a field, four essential parameters are needed and the parameters are Quantity of Charge (q), Average Velocity of the Charge (v), Magnetic Field Induction or Magnetic Flux Density (B) and Angle between v and B (θ).

The formula for calculating the magnetic force:

F = qVBsinθ

Where;

F = Magnetic Force

q = Quantity of Charge

v = Average Velocity of the Charge

B = Magnetic Field Induction or Magnetic Flux Density

θ = Angle between v and B

Let’s solve an example;

Find the magnetic force of a field when the Quantity of Charge (q) is 11, Average Velocity of the Charge (v) is 20, Magnetic Field Induction or Magnetic Flux Density (B) is 17 and Angle between v and B (θ) is 28°.

This implies that;

q = Quantity of Charge = 11

v = Average Velocity of the Charge = 20

B = Magnetic Field Induction or Magnetic Flux Density = 17

θ = Angle between v and B = 28°

F = qVBsinθ

F = 11 x 20 x 17 x sin28°

F = 11 x 20 x 17 x 0.469

F = 1755.82

Therefore, the **magnetic force** is **1755.82 Newton (N).**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the magnetic force.

To get the answer and workings of the magnetic force using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Magnetic field **under the **Physics** section

Now, Click on **Magnetic Force** under **Magnetic Field**

The screenshot below displays the page or activity to enter your values, to get the answer for the magnetic force according to the respective parameters which are the **Quantity of Charge (q)**, **Average Velocity of the Charge (v)**, **Magnetic Field Induction or Magnetic Flux Density (B)** and **Angle between v and B (θ).**

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **Quantity of Charge (q) **is **11**, **Average Velocity of the Charge (v) **is **20**, **Magnetic Field Induction or Magnetic Flux Density (B)** is **17 **and **Angle between v and B (θ)** is **28°**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the magnetic force and presents the formula, workings and steps too.

The image above represents the escape velocity.

To compute the escape velocity of a field, two essential parameters are needed and the parameters are acceleration due to gravity (g) and radius (r).

The formula for calculating the escape velocity:

V = √(2gR)

Where;

V = Escape velocity

g = Acceleration due to gravity

R = Radius

Let’s solve an example;

Find the escape velocity of a field when the acceleration due to gravity is 12 and the radius is 24 cm.

This implies that;

g = Acceleration due to gravity = 12

r = Radius = 24 cm

V = √(2gR)

V = √(2 x 12 x 24)

V = √(576)

V = 24

Therefore, the **escape velocity** is **24 m/s.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the escape velocity.

To get the answer and workings of the escape velocity using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

**professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Gravitational Field**** **under the **Physics** section

Now, Click on **Escape Velocity **under **Gravitational Field**

The screenshot below displays the page or activity to enter your values, to get the answer for the escape velocity according to the respective parameters which are the **acceleration due to gravity**** (g)** and **radius (r).**

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **acceleration due to gravity**** (g) **is **12** and **radius (r) **is **24**** cm.**

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the escape velocity and presents the formula, workings and steps too.

The image above represents the Gravitational potential.

To compute the gravitational potential of a field, two essential parameters are needed which are mass (m) and radius (r).

The formula for calculating the gravitational potential;

V = ^{(Gm)} / _{r}

Where;

V = Gravitational potential

m = Mass

r = Radius

Let’s solve an example;

Find the gravitational potential of a field when the mass is 14 cm with a radius of 9 cm.

This implies that;

m = Mass = 14 cm

r = Radius = 9 cm

V = ^{(Gm)} / _{r}

V = ^{(6.67 x 10-11 x 14)} / _{9}

V = ^{1.0375e-10} / _{9}

V = 1.0375e-10

Therefore, the **gravitational potential** is **1.0375e-10 Volts (V).**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the gravitational potential.

To get the answer and workings of the gravitational potential using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

**professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Gravitational Field**** **under the **Physics** section

Now, Click on **Gravitational Potential **under **Gravitational Field**

The screenshot below displays the page or activity to enter your values, to get the answer for the gravitational potential according to the respective parameters which are the **mass (m)** and **radius (r).**

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **mass (m) **is **14 cm ** and **radius (r) **is **9 cm.**

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the gravitational potential and presents the formula, workings and steps too.

The image above represents the gravitational force.

To compute the gravitational force of a field, three parameters are needed and this parameters are mass (m_{1}), mass (m_{2}) and radius between the masses (R).

The formula for calculating the gravitational force:

F = ^{Gm1m2} / _{r²}

Where;

F = Gravitational force

m_{1} = Mass 1

m_{2} = Mass 2

r = Radius between the masses

Let’s solve an example;

Find the gravitational force of a field when the mass 1 is 8 cm, mass 2 is 10 cm and the radius between masses is 14 cm.

This implies that;

m_{1} = Mass 1 = 8 cm

m_{2} = Mass 2 = 10 cm

r = Radius between the masses = 14 cm

F = ^{Gm1m2} / _{r²}

F = ^{(6.67 x 10-11 x 8 x 10)} / _{196}

F = ^{5.336e-9} / _{196}

F = 2.722e-11

Therefore, the **gravitational force** is **2.722e-11 Newton (N).**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the gravitational force.

To get the answer and workings of the gravitational force using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

**professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Gravitational Field**** **under the **Physics** section

Now, Click on **Gravitational Force **under **Gravitational Field**

The screenshot below displays the page or activity to enter your values, to get the answer for the gravitational force according to the respective parameters which are the **mass (m _{1})**,

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **mass (m _{1}) **is

Finally, Click on calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the gravitational force and presents the formula, workings and steps too.

The image above is an ellipsoid.

To compute the area of an ellipsoid, three essential parameters are needed and this parameters are** axis (a)**, **axis (b)** and **axis (c)**.

The formula for calculating the area of an ellipsoid:

A = 4π(^{(ab)1.6 + (ac)1.6 + (bc)1.6}⁄_{3})^{1 / 1.6}

Where;

A = Area of the ellipsoid

a = Axis of the ellipsoid

b = Axis of the ellipsoid

c = Axis of the ellipsoid

Let’s solve an example;

Find the the area of an ellipsoid when the axis (a) of the ellipsoid is 12 cm, axis (b) of the ellipsoid is 6 cm and axis (c) of the ellipsoid is 2 cm.

This implies that;

a = Axis of the ellipsoid = 12 cm

b = Axis of the ellipsoid = 6 cm

c = Axis of the ellipsoid = 2 cm

A = 4π(^{(ab)1.6 + (ac)1.6 + (bc)1.6}⁄_{3})^{1 / 1.6}

A = 4π(^{((12)(6))1.6 + ((12)(2))1.6 + ((6)(2))1.6}⁄_{3})^{1 / 1.6}

A = 4π(^{((72)1.6 + (24)1.6 + (12)1.6)}⁄_{3})^{1 / 1.6}

A = 4π(^{((936.98) + (161.56) + (53.29))}⁄_{3})^{1 / 1.6}

A = 4π(^{(1151.84)}⁄_{3})^{1 / 1.6}

A = 4π(383.946)^{1 / 1.6}

A = 4π(383.946)^{0.625}

A = 4π(41.2258)

A = (12.566)(41.2258)

A = 518.059

Therefore, the **area of the ellipsoid** is **518.059 cm ^{2}**.

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the area of an ellipsoid.

To get the answer and workings of the area of an ellipsoid using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

**professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Mensuration**** **under the **Mathematics** section

Now, click on** Area of an Ellipsoid **under **Mensuration**

The screenshot below displays the page or activity to enter your values, to get the answer for the area of an ellipsoid according to the respective parameters which are the **axis (a)**, **axis (b)** and **axis (c) **of the ellipsoid.

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **axis** **(a)** is **12**** cm**, **axis (b)** is **6**** cm **and ** axis (c) **is ** 2 cm.**

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the volume of the ellipsoid and presents the formula, workings and steps too.

The image above is an ellipsoid.

To compute the volume of an ellipsoid, three essential parameters are needed and this parameters are** axis (a)**, **axis (b)** and **axis (c)**.

The formula for calculating the volume of an ellipsoid:

V = ^{4πabc} ⁄ _{3}

Where;

V = Volume of the ellipsoid

a = Axis of the ellipsoid

b = Axis of the ellipsoid

c = Axis of the ellipsoid

Let’s solve an example;

Given that the axis of the ellipsoid (a) is 9 cm and axis of the ellipsoid (b) is 11 cm with the axis (c) of 14 cm. Find the volume of the ellipsoid?

This implies that;

a = Axis of the ellipsoid = 9 cm

b = Axis of the ellipsoid = 11 cm

c = Axis of the ellipsoid = 14 cm

V = ^{4πabc} ⁄ _{3}

V = ^{4π(9 x 11 x 14)} ⁄ _{3}

V = ^{4π(1386)} ⁄ _{3}

V = ^{(12.56)(1386)} / _{3}

V = ^{(17416.98967)} / _{3}

V = 5805.66

Therefore, the **volume of the ellipsoid** is **5805.66 cm ^{3}.**

**Calculating the Axis (a) of an Ellipsoid using the Volume of the Ellipsoid, Axis (b) of the Ellipsoid and Axis (c) of the Ellipsoid.**

a = ^{V3} / _{4πbc}

Where;

a = Axis of the ellipsoid

V = Volume of the ellipsoid

b = Axis of the ellipsoid

c = Axis of the ellipsoid

Let’s solve an example;

Find the axis (a) of an ellipsoid when the volume of the ellipsoid is 280 cm^{3} with an axis (b) of 18 cm and axis (c) of 8 cm.

This implies that;

V = Volume of the ellipsoid = 280 cm^{3}

b = Axis of the ellipsoid = 18 cm

c = Axis of the ellipsoid = 8 cm

a = ^{V3} / _{4πbc}

a = ^{280 x 3} / _{(12.566)(18 x 8)}

a = ^{840} / _{(12.566)(144)}

a = ^{840} / _{1809.504}

a = 0.46

Therefore, the **axis (a) of the ellipsoid** is **0.46 cm.**

**Calculating the Axis (b) of an Ellipsoid using the Volume of the Ellipsoid, Axis (a) of the Ellipsoid and Axis (c) of the Ellipsoid.**

b = ^{V3} / _{4πac}

Where;

b = Axis of the ellipsoid

V = Volume of the ellipsoid

a = Axis of the ellipsoid

c = Axis of the ellipsoid

Let’s solve an example;

Find the axis (b) of an ellipsoid when the volume of the ellipsoid is 320 cm^{3} with an axis (a) of 19 cm and axis (c) of 7 cm.

This implies that;

V = Volume of the ellipsoid = 320 cm^{3}

a = Axis of the ellipsoid = 19 cm

c = Axis of the ellipsoid = 7 cm

b = ^{V3} / _{4πac}

b = ^{320 x 3} / _{(12.566)(19 x 7)}

b = ^{960} / _{(12.566)(133)}

b = ^{960} / _{1671.278}

b = 0.574

Therefore, the **axis (b) of the ellipsoid** is **0.574 cm.**

**Calculating the Axis (c) of an Ellipsoid using the Volume of the Ellipsoid, Axis (a) of the Ellipsoid and Axis (b) of the Ellipsoid.**

c = ^{V3} / _{4πab}

Where;

c = Axis of the ellipsoid

V = Volume of the ellipsoid

a = Axis of the ellipsoid

b = Axis of the ellipsoid

Let’s solve an example;

Find the axis (c) of an ellipsoid when the volume of the ellipsoid is 480 cm^{3} with an axis (a) of 22 cm and axis (b) of 11 cm.

This implies that;

V = Volume of the ellipsoid = 480 cm^{3}

a = Axis of the ellipsoid = 22 cm

b = Axis of the ellipsoid = 11 cm

c = ^{V3} / _{4πab}

c = ^{480 x 3} / _{(12.566)(22 x 11)}

c = ^{1440} / _{(12.566)(242)}

c = ^{1440} / _{3040.972}

c = 0.474

Therefore, the **axis (c) of the ellipsoid** is **0.474 cm.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the volume of an ellipsoid.

To get the answer and workings of the volume of an ellipsoid using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

**professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Mensuration**** **under the **Mathematics** section

Now, click on** Volume of an Ellipsoid **under **Mensuration**

The screenshot below displays the page or activity to enter your values, to get the answer for the volume of an ellipsoid according to the respective parameters which are the **axis (a)**, **axis (b)** and **axis (c) **of the ellipsoid.

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **axis** **(a)** is **9 cm**, **axis (b)** is **11**** cm **and ** axis (c) **is ** 14 cm.**

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the volume of the ellipsoid and presents the formula, workings and steps too.

The image above is a spherical segment.

To compute the surface area of a spherical segment requires two essential parameters which are the radius of the sphere (R) and the height (h).

The formula for calculating the surface area of the spherical segment:

A = 2πRh

Where;

A = Surface area of the spherical segment

R = Radius of the sphere

h = Height of the spherical segment

Let’s solve an example;

Find the surface area of a spherical segment when the radius of the sphere is 12 cm and the height is 16 cm.

This implies that;

R = Radius of the sphere = 12 cm

h = Height of the spherical segment = 16 cm

A = 2πRh

A = 2π (12 x 16)

A = 2π (192)

A = 6.28 (192)

A = 1206.37

Therefore, the **surface area of the spherical segment** is **1206.37 cm ^{2}.**

**Calculating the Radius of the Sphere using the Surface Area of the Spherical Segment and the Height.**

R = ^{A} / _{2πh}

Where;

R = Radius of the sphere

A = Surface area of the spherical segment

h = Height of the spherical segment

Let’s solve an example;

Find the radius of a sphere with a surface area of 300 cm^{2} and a height of 12 cm.

This implies that;

A = Surface area of the spherical segment = 300 cm^{2}

h = Height of the spherical segment = 12 cm

R = ^{A} / _{2πh}

R = ^{300} / _{2 x π x 12}

R = ^{300} / _{75.41}

R = 3.978

Therefore, the** radius of the sphere** is **3.978 cm.**

**Calculating the Height of the Spherical segment using the Surface Area of the Spherical Segment and the Radius of the sphere.**

h = ^{A} / _{2πR}

Where;

R = Radius of the sphere

A = Surface area of the spherical segment

h = Height of the spherical segment

Let’s solve an example;

Find the height of a spherical segment with a surface area of 420 cm^{2} and a radius of 16 cm.

This implies that;

A = Surface area of the spherical segment = 300 cm^{2}

R = Radius of the sphere = 16 cm

h = ^{A} / _{2πR}

h = ^{420} / _{2 x π x 16}

h = ^{420} / _{100.544}

h = 4.18

Therefore, the **height of the spherical segment** is **4.18 cm.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the surface area of the spherical segment.

To get the answer and workings of the surface area of the spherical segment using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

**professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Mensuration**** **under the **Mathematics** section.

Now, click on **Surface Area of the spherical segment** under **Mensuration**

The screenshot below displays the page or activity to enter your values, to get the answer for the surface area of the spherical segment according to the respective parameters which are the radius of the sphere (R) and height (h).

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the** radius of the sphere **is **12 cm **and** the height **is **16 cm.**

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the** Surface Area of a spherical segment**and presents the formula, workings and steps too.

The image above is a spherical segment.

To compute the volume of a spherical segment requires three essential parameters which are the radius of the spherical segment base (r_{1}), radius of the spherical segment (r_{2}) and height (h).

The formula for calculating the volume of the spherical segment:

V = ^{πh(3r1² + 3r2² + h²)} ⁄ _{6}

Where;

V = Volume of the spherical cap

r_{1} = Radius of the spherical segment base

r_{2} = Radius of the spherical segment base

h = Height of the spherical segment

Let’s solve an example;

Find the volume of a spherical segment when the radius of the spherical segment base (r_{1}) is 7 cm, radius of the spherical segment base (r_{2}) is 9 cm and a height of 20 cm.

This implies that;

r_{1} = Radius of the spherical segment base = 7 cm

r_{2} = Radius of the spherical segment base = 9 cm

h = Height of the spherical segment = 20 cm

V = ^{πh(3r1² + 3r2² + h²)} ⁄ _{6}

V = ^{π x 20(3 x 7² + 3 x 9² + 20²)} ⁄ _{6}

V = ^{π x 20(3 x 49 + 3 x 81 + 400)} ⁄ _{6}

V = ^{π x 20(147 + 243 + 400)} ⁄ _{6}

V = ^{π x 20(790)} ⁄ _{6}

V = ^{π x 15800} ⁄ _{6}

V = ^{49643.6} ⁄ _{6}

V = 8273.9

Therefore, the **volume of the spherical segment** is **8273.9 cm ^{3}.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the volume of the spherical segment.

To get the answer and workings of the volume of the spherical segment using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

**professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Mensuration**** **under the **Mathematics** section.

Now, click on **Volume of the spherical segment** under **Mensuration**

The screenshot below displays the page or activity to enter your values, to get the answer for the volume of the spherical segment according to the respective parameters which are the radius of the spherical segment base (r_{1}), radius of the spherical segment (r_{2}) and height (h).

Now, enter the values appropriately and accordingly for the parameters as required by the **example** above where the **radius of the spherical segment base (r _{1})** is

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator** – The Calculator Encyclopedia solves for the** Volume of a spherical segment** and presents the formula, workings and steps too.