Volume of an Ellipsoid


Calculate ellipsoid volume from three semi-axes or diameters. Convert units and reverse solve a missing axis from volume.

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

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








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.


Ages 2–5
Free right now
Free Toddler Learning, No Ads
TeddyBase learning app for toddlers
ABC, numbers, colours, animals, time and weekdays in simple tap-and-listen lessons.
No ads No in-app purchases No data collection
Download on the App Store
Stainless steel grill tongs holding grilled meat
BBQ essential
Keep Your Hands Away From the Heat
Long stainless-steel tongs for steaks, ribs, vegetables, and hot grill food.
14 inch reach · Locking handle
See it on Amazon