Ellipsoid Volume Calculator
Calculate the volume of an ellipsoid given its three semi-axes.
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This tool calculates the volume of an ellipsoid from its three semi-axis lengths.
- Enter the semi-axes. Provide values for a, b, and c (all positive).
- View the volume. The result updates automatically as you type.
- Copy or share. Use the buttons to save or share the result.
About the Ellipsoid
An ellipsoid is a 3D surface where every cross-section is an ellipse (or circle). Its volume is V = (4/3) * pi * a * b * c, where a, b, and c are the three semi-axis lengths. When all three are equal, the ellipsoid is a sphere. Ellipsoids appear in geodesy (the shape of the Earth is approximately an oblate ellipsoid), physics, and medical imaging.
Frequently Asked Questions
What is the formula for ellipsoid volume?
V = (4/3) * pi * a * b * c, where a, b, and c are the semi-axis lengths along the x, y, and z axes.
How is an ellipsoid different from a sphere?
A sphere has all three semi-axes equal. An ellipsoid can have three different semi-axis lengths, making it stretched or compressed along different directions.
Is Earth an ellipsoid?
Approximately, yes. Earth is an oblate ellipsoid, slightly flattened at the poles and bulging at the equator.