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

##### 1 Answer

Please see below.

#### Explanation:

Find the volume of the solid generated by revolving the region bounded by

Here is a graph. The region is in blue. A representative slice (black line segments) has been taken at a

The axis of revolution is the line

Because the thickness is the differential of

When rotated, the radius is the

The volume of the representative disk is

# = pi(36-72/y+36/y^2)dy#

# = pi(156 - 72ln(3))#