Ellipsoid Volume Calculator
Find ellipsoid volume from three semi-axis lengths
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Ellipsoid Volume Formula
V = (4 / 3)πabc
An ellipsoid stretches a sphere along three perpendicular axes. The volume formula multiplies the three semi-axes with the sphere volume constant.
⚠ Inputs are semi-axis lengths, not full diameters. All three values must be positive.
How Ellipsoid Volume Works
When a, b, and c are equal, the ellipsoid becomes a sphere. When the axes differ, the product abc scales the sphere-like volume.
Semi-Axis a
One radius-like direction.
Semi-Axis b
Second perpendicular direction.
Semi-Axis c
Third perpendicular direction.
Sphere Case
If a=b=c, the formula becomes sphere volume.
💡 Example: For a=6, b=4, and c=3, V=(4/3)π(6)(4)(3)=301.593.
Applications of Ellipsoid Volume
Astronomy
3D Modeling
Geology
Anatomy
Frequently Asked Questions
What is an ellipsoid volume calculator?▼
It calculates the volume of an ellipsoid from its three semi-axis lengths.
What is the ellipsoid volume formula?▼
The formula is V = (4/3)πabc, where a, b, and c are semi-axes.
How do I use this calculator?▼
Enter the three semi-axis lengths and click Calculate.
Is an ellipsoid the same as a sphere?▼
A sphere is a special ellipsoid where all three semi-axes are equal.
Where is ellipsoid volume used?▼
It is used in astronomy, geology, anatomy, modeling, and 3D geometry.
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