# An ellipsoid has radii with lengths of #9 #, #8 #, and #6 #. 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

Dec 6, 2017

The remaining volume is

#### Explanation:

The volume of an ellipsoid is

Here,

and

so,

The volume of a hemisphere is

Here,

so,

The remaining volume is