Maths & numbers
Ellipsoid volume calculator
Calculate volume and axis lengths from three semi-axes.
A clear answer. Here’s how.
Ellipsoid volume = 4πabc/3, where a, b and c are semi-axis lengths, not full diameters. Also reports full axis lengths and the radius of an equal-volume sphere using the geometric mean. Uses a single length unit throughout; surface area is not approximated.
See a worked example
Worked example
A fixed demonstration, separate from the values you enter above.
- Semi-axis a (centre to surface)
- 3
- Semi-axis b (centre to surface)
- 2
- Semi-axis c (centre to surface)
- 1
Example result
- Volume
- 25.1327412287
- Full axis a
- 6
- Full axis b
- 4
- Full axis c
- 2
- Equal-volume sphere radius
- 1.81712059283