# How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #27y=x^3#, y=0 , x=6 revolved about the y=8?

##### 1 Answer

Nov 19, 2016

The volume is

#### Explanation:

The volume of a small shell

As,

graph{(y-x^3/27)(y-8)=0 [-19.15, 16.9, -4.32, 13.7]}