The image above is an ellipsoid. To calculate the volume of an ellipsoid, three essential parameters are needed and these 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}

Then, V = ^{4π(1386)} ⁄ _{3}

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

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

So, 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)}

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

a = ^{840} / _{1809.504}

a = 0.46

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

Read more: How to Calculate and Solve for the Area of an Ellipsoid | The Calculator Encyclopedia

**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)}

Then, 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)}

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

c = ^{1440} / _{3040.972}

c = 0.474

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

And that’s how you calculate the axis and volume of an ellipsoid!

**How to Calculate the Volume of an Ellipsoid Using Nickzom Calculator**

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

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 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.