Ellipsoid Volume Calculator

The volume of an ellipsoid will be calculated electronically by the online ellipsoid calculator as long as you input the values needed.

The user will always be able to see a running total that is summed from the new dimensions that are inserted into the volume calculator.

General information and basic definition of an ellipsoid

An ellipsoid represents a three-dimensional solid analogue of a geometric figure known as an ellipse, and, moreover, its surface can be described as quadratic. In Cartesian coordinates, the general equation describing the quadratic surface of an ellipsoid is as follows:

(x / a)² + (y / b)² + (z / c)² = 1

The following formula can be applied to calculate the volume of an ellipsoid:

• Volume (V) = (4/3) × π × a × b × c
• where:
• a, b, and c are the lengths of the semi-axes;
• π is 3.141592654 (to 9 decimal places).

Note: It is really important that the user applied the same measurement units for all of the dimensions during the process of computing the volume of any object, e.g. an ellipsoid.

Units used when measuring volumes of solid objects are as follows:

• cubic feet
• cubic meters
• cubic yards

Units used for measuring volumes of liquids are:

• liters
• quarts
• pints
• gallons