Enter semi-axes a, b, and c, then click Calculate Volume.

An ellipsoid is a three-dimensional surface that resembles a stretched or squashed sphere. It is defined by three semi-axes: a, b, and c, which represent the distances from the center to the surface along the x, y, and z axes respectively. The volume of an ellipsoid is calculated using the formula V = (4/3) · π · a · b · c. When all three semi-axes are equal (a = b = c), the ellipsoid becomes a sphere with volume V = (4/3) · π · r³. This formula is derived from the general equation of an ellipsoid and integral calculus. Ellipsoids appear in many real-world applications: Earth is approximately an oblate spheroid (ellipsoid with a = b > c), sports balls, planetary bodies, and medical imaging (MRI, CT scans). This calculator is useful for geophysics, astronomy, engineering, and physics where accurate volume calculations of ellipsoidal shapes are needed.

1. Enter the Semi-axis a (radius along the x-axis).
2. Enter the Semi-axis b (radius along the y-axis).
3. Enter the Semi-axis c (radius along the z-axis).
4. Click Calculate Volume to compute the ellipsoid volume.
5. The result shows volume, equivalent sphere radius, and approximate surface area.
6. Click Reset to restore default example values.