How to Calculate and Solve for the Volume and Radius of a Sphere | The Calculator Encyclopedia
Last Updated on February 16, 2024
The image above is a sphere. To calculate the volume of a sphere, one essential parameter is needed and this parameter is the radius of the sphere (r). You can also use diameter of the sphere (d).
The formula for calculating the volume of a sphere:
V = (4/3)πr³
Where;
V = Volume of the sphere
r = Radius of the sphere
Let’s solve an example:
Find the volume of a sphere when the radius of the sphere is 10 cm.
This implies that;
r = Radius of the sphere = 10 cm
V = (4/3)πr³
V = (4/3)π x (10)³
Which means that, V = (4/3)π x 1000
V = (4/3)3.142 x 1000
V = (4/3)3142
Then, V = 1.33 x 3142
V = 4188.7
Therefore, the volume of the sphere is 4188.7 cm³.
Calculating the Volume of a Sphere using Diameter of the Sphere.
V = 4πd³ / 24
Where;
V = Volume of the sphere
d = Diameter of the sphere
Let’s solve an example:
Find the volume of a sphere when the diameter of the sphere is 20 cm.
This implies that;
d = Diameter of the sphere = 20 cm
V = 4πd³ / 24
V = 4 x 3.142 x (20)³ / 24
So, V = 4 x 3.142 x 8000 / 24
V = 100544 / 24
V = 4189.3
Therefore, the volume of the sphere with diameter is 4189.3 cm3.
Calculating the Radius of a Sphere using Volume of the Sphere.
r = 3√(3V / 4π)
Where;
V = Volume of the sphere
r = Radius of the sphere
Let’s solve an example:
Find the radius of a sphere when the volume of the sphere is 250 cm3.
This implies that;
V = Volume of the sphere = 250 cm3
r = 3√(3V / 4π)
r = 3√(3 x 250 / 4 x 3.142)
That is, r = 3√(750 / 12.568)
r = 3√59.675
r = 3.907
Therefore, the radius of the sphere is 3.907 cm.
Calculating the Diameter of a Sphere using Volume of the Sphere.
d = 3√(24V / 4π)
Where;
A = Area of the sphere
d = Diameter of the sphere
Let’s solve an example:
Find the diameter of a sphere when the volume of the sphere is 40 cm3.
This implies that;
V = Volume of the sphere = 40 cm3
d = 3√(24V / 4π)
d = 3√(24 x 40 / 4 x 3.142)
So, d = 3√(960 / 12.568)
d = 3√76.38
d = 4.24
Therefore, the diameter of the sphere is 4.24 cm.
How to Calculate and Solve for the Volume of a Sphere Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of a sphere.
To get the answer and workings of the volume of a sphere 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 Mensuration under the Mathematics section
Now, click on Volume of a Sphere under Mensuration
The screenshot below displays the page or activity to enter your value, to get the answer for the volume of a sphere according to the respective parameter which is the radius of the sphere (r).
Now, enter the value appropriately and accordingly for the parameter as required by the example above where the radius of the sphere is 10 cm.
Finally, click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the volume of a sphere and presents the formula, workings and steps too.
