Math
Sphere volume and surface area
Find the surface area and volume of a sphere.
Calculators / Math / Ellipsoid volume
Ellipsoid volume calculator
Calculate ellipsoid volume using three semi-axes measured from the centre to the surface, rather than the full axis lengths.
On this page
Volume25.13units³
Calculator controls
How to calculate
Calculate ellipsoid volume using three semi-axes measured from the centre to the surface, rather than the full axis lengths.
Volume = 4*pi*a*b*c/3 units³
Worked example
Semi-axis a: 3; Semi-axis b: 2; Semi-axis c: 1.
Volume: 25.13 units³.
Assumptions and limits
Calculate ellipsoid volume using three semi-axes measured from the centre to the surface, rather than the full axis lengths. Use the same length unit throughout. Angles marked degrees use degrees. Results describe ideal geometric shapes.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Calculate ellipsoid volume using three semi-axes measured from the centre to the surface, rather than the full axis lengths.
When this tool is useful
Volume = 4*pi*a*b*c/3 units³
Understanding your inputs
| Input | What to enter |
|---|---|
| Semi-axis a | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Semi-axis b | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Semi-axis c | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Calculate ellipsoid volume using three semi-axes measured from the centre to the surface, rather than the full axis lengths. Use the same length unit throughout. Angles marked degrees use degrees. Results describe ideal geometric shapes.
How is the result calculated?
Volume = 4*pi*a*b*c/3 units³