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Calculate volume and approximate surface area of an ellipsoid. Enter the three semi-axes (a, b, c).
All semi-axes are equal. V = (4/3)πr³, SA = 4πr²
Flattened at poles, like Earth. Disk or M&M shape.
Elongated, like a rugby ball or egg. Cigar shape.
All three semi-axes are different. Most general case.
Unlike volume, there's no simple closed-form formula for ellipsoid surface area. The exact formula involves elliptic integrals. Thomsen's approximation is accurate to about 1%.
Yes! Earth is an oblate spheroid with equatorial radius ~6,378 km and polar radius ~6,357 km. It's about 21 km wider at the equator than pole-to-pole.
The three semi-axes (a, b, c) lie along the x, y, and z coordinate axes. They represent the distances from the center to the surface along each direction.
An ellipsoid is symmetric about its center - both ends are identical. An ovoid (egg shape) is asymmetric, with one end more pointed than the other.