# How do you find the volume of the solid generated by revolving the region bounded by the graphs #x=y^2, x=4#, about the line x=6?

##### 1 Answer

Mar 31, 2017

Please see below.

#### Explanation:

The graph of the region is shown below. A representative slice of thickness

When revolved about the line

In this problem

#R = 6-y^2# and

#r = 6-4=2# and

#"thickness" = dy# .

So the volume of the solid of revolution is

# = (384pi)/5#

or about