3.2 Sphere and ellipsoids
Shape | Area | Volume | |
Sphere (any point on the surface is distance r from the centre) |
4 πr^{2} | 4 πr^{3} /3 | |
Ellipsoid (distance between a point on the surface and the centre defined by the lengths of three axes) |
4 π ((L+ M + N)/3)^{1/p} where, p = 1.6075 L= xpyp M = xpzp N = ypzp (see note below) |
4 πxyz /3 |
Note: the formula for the surface area of an ellipsoid is an approximation