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Math & statistics

Ellipsoid volume

Ellipsoid volume: Ellipsoid volume = (4/3) × π × a × b × c, where a, b and c are the three semi-axes.

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How it works

Ellipsoid volume = (4/3) × π × a × b × c, where a, b and c are the three semi-axes.

Input definitions

First semi-axis
Enter the value in the labeled unit.
Second semi-axis
Enter the value in the labeled unit.
Third semi-axis
Enter the value in the labeled unit.

A worked example

First semi-axis
3
Second semi-axis
2
Third semi-axis
1
25.132741

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Are these radii or diameters?

Enter the three radii, or semi-axes. If you measured the full length, width and height, halve each dimension first.

How does Ellipsoid volume work?

Ellipsoid volume = (4/3) × π × a × b × c, where a, b and c are the three semi-axes.

What should I check before using Ellipsoid volume?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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