An ellipsoid has radii with lengths of 12 , 16 , and 8 . A portion the size of a hemisphere with a radius of 8 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Aug 13, 2016

=5361.67

Explanation:

The Volume of an Ellipsoid with radii =12,16 and 8

=pi/6times(major-axis)times(minor axis)times(vertcal-axis)

=pi/6(2times16)(2times8)(2times12)

=pi/6(32times16times24)

=2048pi

=6434

Volume of an Hemisphere=2/3(pir^3) where r=8 is the radius
=2/3pi(8)^3

=2/3pitimes512

=341.34pi

=1072.34

So the remaining volume of the Ellipsoid

=6434-1072.34

=5361.67