Math
Ellipsoid Volume Calculator
Use this ellipsoid volume calculator for oval solids when you know the three semi-axis lengths.
Use half of the full length along one axis.
Use half of the full width along the second axis.
Use half of the full height along the third axis.
Volume
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- Volume
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- Axis product
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- Equal-volume sphere radius
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Student quick launch
Grade planning, algebra checks, and formulas students reach for most.
Study path
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What the ellipsoid volume calculator solves
Use this ellipsoid volume calculator for oval solids when you know the three semi-axis lengths.
Formula
How to use it
- Enter the shape dimensions using one consistent unit system.
- Check the formula and supporting measures before copying the answer.
- Use square units for area results and cubic units for volume results.
How to read the answer
When all three semi-axes are equal, the ellipsoid formula becomes the sphere volume formula.
Common mistakes and edge cases
- Use semi-axis lengths, not full diameters.
- Keep all three axes in the same unit.
- Do not use the ellipse area formula for a 3D ellipsoid.
Worked examples
Oval solid
Volume
Volume = 301.5929 cubic units
Sphere special case
Volume
Volume = 523.5988 cubic units
Invalid semi-axis
Volume
Error
Frequently asked questions
What is a semi-axis?+
A semi-axis is half of a full axis length, just like radius is half of diameter.
Is an ellipsoid a stretched sphere?+
Yes. The formula multiplies the three stretch factors a, b, and c against the sphere constant 4/3 pi.
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Last updated: May 15, 2026