An ellipsoid has radii with lengths of 8, 9, and 2. A portion the size of a hemisphere with a radius of 3 is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

1 Answer
Apr 7, 2017

174π546.637 units3

Explanation:

Volume of an ellipsoid Vellipsoid=43πabc where a,b,c are the radii.

Volume of a hemisphere is half the volume of a sphere Vhemisphere=1243πr3=23πr3

VellipsoidVhemisphere=43π89223π33

=192π18π=174π

VellipsoidVhemisphere=174π546.637 units3