Ellipsoid Volume Calculator
Find the volume of an ellipsoid from three perpendicular semiaxis lengths.
Formula
V = 4πabc/3
Semiaxis a: 3 cm · Semiaxis b: 2 cm · Semiaxis c: 1 cm · Volume ≈ 4×pi×(3 cm × 0.01 m/cm)×(2 cm × 0.01 m/cm)×(1 cm × 0.01 m/cm)÷3×1000000
How to use
- Enter three semiaxes.
- Select their units.
- Read volume in cm³.
Examples
- Semiaxes 3, 2 and 1 cm give V=8π cm³.
Frequently asked questions
Are these full axis lengths?
No. Each semiaxis is half a full axis.
What if all three are equal?
The ellipsoid is a sphere with that radius.
Why multiply by abc?
Scaling the unit ball by a,b,c multiplies volume by the Jacobian abc.
Sources
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