An ellipsoid has radii with lengths of 4, 9, and 5. A portion the size of a hemisphere with a radius of 5 is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

1 Answer
Aug 14, 2016

=492.2

Explanation:

The Volume of an Ellipsoid with radii =4,9and5

=π6×(major-axis)×(minor axis)×(vertcal-axis)

=π6(2×9)(2×4)(2×5)

=π6(18×8×10)

=240π

=754

Volume of an Hemisphere=23(πr3) where r=5 is the radius
=23π(5)3

=23π×125

=250π3

=261.8

So the remaining volume of the Ellipsoid

=754261.8

=492.2