Ellipsoid Volume Table: Volume by Semi-axis a
Reference table of volume for Ellipsoid Volume across a range of semi-axis a values — exact, engine-computed figures you can read off at a glance.
Ellipsoid Volume Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Volume
251.3274
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Ellipsoid Volume Calculator
The Ellipsoid Volume Calculator works out your volume in an instant. Enter semi-axis a, semi-axis b and semi-axis c and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the semi-axis a.
- Enter the semi-axis b.
- Enter the semi-axis c.
- Read off your volume — the calculator updates automatically, with no button to press.
Formula
The Ellipsoid Volume Calculator uses the formula:
Volume = 4 ÷ 3 × 3.141592653589793 × Semi-axis a × Semi-axis b × Semi-axis c
Worked example
For example, with semi-axis a of 3 units, semi-axis b of 4 units and semi-axis c of 5 units, the volume is 251.3274.
| Semi-axis a | 3 units |
|---|---|
| Semi-axis b | 4 units |
| Semi-axis c | 5 units |
| Volume | 251.3274 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Volume
- The amount of three-dimensional space an object occupies, measured in cubic units.
Frequently asked questions
Use V = 4⁄3 × π × a × b × c, where a, b and c are the three semi-axes. For 3, 4 and 5 the volume is about 251.33 cubic units.
An ellipsoid is a 3D shape like a stretched or squashed sphere, with three semi-axes that can each differ in length.
The ellipsoid becomes a sphere, and the formula reduces to the sphere volume 4⁄3 πr³.
Each semi-axis is half the length of the ellipsoid along one of its three perpendicular directions.
The Ellipsoid Volume Calculator uses the formula: Volume = 4 ÷ 3 × 3.141592653589793 × Semi-axis a × Semi-axis b × Semi-axis c. For example, with semi-axis a of 3 units, semi-axis b of 4 units and semi-axis c of 5 units, the volume is 251.3274.
Enter the semi-axis a. Enter the semi-axis b. Enter the semi-axis c. Read off your volume — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Ellipsoid Volume: Formula, Steps & Examples
Learn how to calculate Ellipsoid Volume — the formula explained step by step, with worked examples and a free calculator to check your answer.