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math.geometry-ellipsoid Calculator
Calculates the volume and surface area (Knud Thomsen approximation) of an ellipsoid from its three semi-axes. There is no exact closed-form for ellipsoid surface area — Thomsen's formula is accurate to within 1.061% for most practical shapes.
Inputs
A
Reference formula or conversion factor shown for context.
B
Reference formula or conversion factor shown for context.
C
Reference formula or conversion factor shown for context.
P
Reference formula or conversion factor shown for context.
Results
volume
The computed three-dimensional volume.
surface area (Knud Thomsen approx)
The computed two-dimensional surface area.
sphere equiv radius
The computed radius -- half the diameter.
semi-axes ratio a:b:c
The proportional relationship between two quantities.
V=4πabc/3
Reference formula or conversion factor shown for context.