When to use this calculator
An ellipsoid generalises a sphere by allowing three different radii along perpendicular axes.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Frustum Slant Height Calculator: Find the sloping side length of a truncated cone.
PUTTING IT INTO PRACTICE
Ellipsoid Volume: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| First semi-axis | 3 |
| Second semi-axis | 2 |
| Third semi-axis | 1 |
| Result | 25.132741 cubic units |
- Check the input labels and enter the example values above.
- Apply the relationship: Volume = 4πabc/3.
- The result is 25.132741 cubic units, rounded for display.
How to interpret your result
Each semi-axis is half of the full diameter along that direction.
Volume and surface area have different units and answer different questions. Use internal dimensions for capacity. A closed-solid surface area includes bases and lids unless the calculator explicitly describes an open shape.
Frequently asked questions
Should I use internal or outside measurements?
Use internal measurements for capacity and outside measurements for covering the exterior. Match the formula to the part being measured.
When is the ellipsoid volume calculator useful?
An ellipsoid generalises a sphere by allowing three different radii along perpendicular axes.
How do I use the ellipsoid volume calculator?
Enter first semi-axis, second semi-axis, third semi-axis. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Volume = 4πabc/3.
What should I check before using the result?
Each semi-axis is half of the full diameter along that direction.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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