# An ellipsoid has radii with lengths of #8 #, #6 #, and #4 #. A portion the size of a hemisphere with a radius of #2 # is removed from the ellipsoid. What is the volume of the remaining ellipsoid?

##### 1 Answer

Jan 28, 2018

#### Explanation:

Remember that the formula for the volume of an ellipsoid is:

We plug the given radii lengths to find the volume.

=>

=>

=>

Now, a hemisphere with a radius of 2 is removed from the ellipsoid.

We have to subtract the volume of the hemisphere from the volume of the ellipsoid.

A volume of a hemisphere is:

=>

=>

=>

=>

=>

=>

=>

=>

That is our answer!