Ellipsoid Volume Calculator

Ellipsoid is defined as a three-dimensional symmetrical about each of three perpendicular axes, whose plane sections normal to one axis are circles and all the other plane sections are ellipses.

What is Ellipsoid Volume Calculator?

'Cuemath's Ellipsoid Volume Calculator' is an online tool that helps to calculate the volume of ellipsoid for given radii. Cuemath's online Ellipsoid Volume Calculator helps you to calculate the volume of the ellipsoid in a few seconds.

How to Use Ellipsoid Volume Calculator?

Please follow the below steps to calculate the volume of the ellipsoid:

• Step 1: Enter the radii in the given input boxes.
• Step 2: Click on the "Calculate" button to calculate the volume of the ellipsoid.
• Step 3: Click on the "Reset" button to clear the fields and enter the different values.

How to Find Ellipsoid Volume Calculator?

The volume of the ellipsoid is the capacity of the ellipsoid or the measure of the amount of space it occupies and it is measured in cubic units. The formula to calculate the volume of the ellipsoid is given by:

Where r₁, r₂, and r₃ are the radius of the ellipsoid of three axes.

Solved Example:

Find the volume of the ellipsoid if the radius of the ellipsoid of axes 1 = 2 units, the radius of the ellipsoid of axes 2 = 3 units, and radius of the ellipsoid of axes 3 = 4 units?

Solution:

Given r₁ = 2 units, r₂ = 3 units, and r₃ = 4 units

Volume of the ellipsoid = (4 / 3) × π × r₁ × r₂ × r₃

= (4 / 3) × 3.14 × 2 × 3 × 4

= 100.48 cubic units

Therefore, the volume of the ellipsoid is 100.48 cubic units.

Similarly, you can use the calculator to find the volume of the ellipsoid for the following:

• r₁ = 5units, r₂ = 7units, and r₃ = 9units
• r₁ = 2units, r₂ = 6units, and r₃ = 3units