Oblate Spheroid - Properties

Properties

An oblate spheroid with b < a has surface area

$S_{\rm oblate} = 2\pi a^2\left(1+\frac{1-e^2}{e}\tanh^{-1}e\right) \quad\mbox{where}\quad e^2=1-\frac{b^2}{a^2}$

and volume

The oblate spheroid is generated by rotation about the minor axis of an ellipse with semi-major axis a and semi-minor axis b, therefore e may be identified as the eccentricity (see ellipse). A derivation of this result may be found at.

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