# An ellipsoid has radii with lengths of #12 #, #11 #, and #8 #. A portion the size of a hemisphere with a radius of #9 # is removed from the ellipsoid. What is the remaining volume of the ellipsoid?

##### 1 Answer

Apr 12, 2017

The remaining volume is

#### Explanation:

The formula for the volume of an ellipsoid where the three radii are represented by

In the given case:

The formula for volume of a hemisphere is:

In the given case:

We need to determine the volume of the ellipsoid when the hemisphere is removed from it, which is;

Simplify the brackets.

Considering