Prolate Spheroid Formulas

Posted In: Mathematics

A prolate spheroid is a surface of revolution obtained by rotating an ellipse about its major axis.
Semi-Axes: a, b, b (a>b)
Surface Area: S
Volume: V

  1. $S=2πb(b+{a\ sin^{-1}e)}/e,$
    where $e=√{a^2-b^2}/a$
  2. $V=4/3πb^2a$

Post Tags: Geometry


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