An ellipsoid has radii with lengths of 2 , 7 , and 4 . 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 11, 2016

~=178

Explanation:

The Volume of an Ellipsoid with radii =2,7 and 4

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

=pi/6(2times7)(2times2)(2times4)

=pi/6(14times4times8)

=74.67pi

=234.57

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

=234.57-56.5

~=178