Hello, nmq3b!
Can you sketch the region, or do you have a graphing calculator?
A good sketch is absolutely essential.
1. Use the method of cylindrical shells to find the volume of the solid obtained by rotating
about the yaxis, the region R bounded by the curve and the xaxis. Code:

*  *
 *:::::*
*  *:::::::*
*  *::::::::::
   *       *  
 2
 *
 *
Shells Formula: .
In this problem: .
Hence: .
I assume you can finish it . . .
2. Use the method of cylindrical shells to find the volume of the solid obtained rotating
the region R boounded by the curves about the line Code:
 * :
  :
 * :
 *: :
 .*::: :
    *    +  +  
*  2 3
* 
* 
This time we have: .
Hence: .