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.**