» Volume of an Ellipsoid


Ellipsoid volume calculator: calculate the volume of an ellipsoid from three semi-axes or three diameters, convert units instantly, and reverse the ellipsoid volume formula to find a missing axis.

Use this ellipsoid volume calculator to quickly find the volume of an ellipsoid from three semi-axes or three diameters. It is useful for geometry, schoolwork, tanks, containers, and conversions between cubic units.

You can calculate from either semi-axes or diameters, convert units instantly, and also use reverse calculation when you need to find a missing axis from a known volume.


Volume of an ellipsoid formulas

$$V= \frac{4\pi abc}{3}$$







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Volume of an Ellipsoid FAQ

What is the formula for the volume of an ellipsoid?
The ellipsoid volume formula is V = 4/3 pi a b c, where a, b, and c are the three semi-axes.

Can I calculate ellipsoid volume from diameters?
Yes. If you enter the three diameters, the calculator converts them to semi-axes internally and then applies the ellipsoid volume formula.

What is the difference between semi-axes and diameters?
A semi-axis is half of the full diameter along one direction. In other words, each diameter is equal to two times its matching semi-axis.

Can I convert ellipsoid volume into other units?
Yes. The calculator can display the result in different cubic units, which is useful for switching between metric, imperial, or liquid-capacity measurements.

Can I solve for a missing axis from a known volume?
Yes. Reverse calculation can determine one missing semi-axis or diameter when the other two dimensions and the ellipsoid volume are known.


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