Ellipsoid Volume Calculator
Determine the volume of any ellipsoid by entering its three semi-axes.
What is an Ellipsoid?
A stretched or compressed sphere.
An ellipsoid is a closed three-dimensional shape that is a generalized version of a sphere, possessing three perpendicular axes of different lengths (like a rugby ball or a flattened sphere).
How to Find Ellipsoid Volume
You need the measurements of all three semi-axes.
Ellipsoid Volume Formula
The equation for an ellipsoid.
Where 'a', 'b', and 'c' are the lengths of all three semi-axes from the center of the ellipsoid.
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Frequently Asked Questions
What is a semi-axis?
A semi×axis is half the length of an axis, measured from the center of the ellipsoid to its surface.
What if two of the axes are identical?
If two axes are the same length, the shape is called a spheroid (like a football or the Earth).
What if all three axes are identical?
If a, b, and c are all equal, the shape is a perfect sphere, and the formula reduces down to standard sphere volume.
Is an egg an ellipsoid?
Not exactly. An egg is typically slightly wider at one end than the other, making it a more complex shape, but an ellipsoid formula can give a close approximation.