An ellipsoid has radii with lengths of 6 , 7 , and 3 . A portion the size of a hemisphere with a radius of 3 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Aug 12, 2016

=471.3

Explanation:

The Volume of an Ellipsoid with radii =6,7 and 3

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

=pi/6(2times7)(2times3)(2times6)

=pi/6(14times6times12)

=168pi

=527.8

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

=2/3pi(27)

=18pi

=56.5

So the remaining volume of the Ellipsoid

=527.8-56.5

=471.3