Use this online calculator to compute the volume \(V\) and approximate surface area \(A\) of an ellipsoid with semi-axes \(a\), \(b\), and \(c\).
Volume formula (exact): \[ V = \frac{4}{3} \pi a b c \]
Surface area approximation (error < 1.4%): \[ A \approx 4 \pi \left( \frac{(ab)^p + (ac)^p + (bc)^p}{3} \right)^{\frac{1}{p}}, \quad p = \frac{\ln 3}{\ln 2} \approx 1.58496 \]
For more details, see the ellipsoid surface area explanation.
• Volume is exact: \(V = \frac{4}{3}\pi a b c\).
• Surface area uses the Knud Thomsen approximation with \(p = \ln 3 / \ln 2\).
The relative error is below 1.4% for all ellipsoids, and often much smaller for near‑spherical shapes.