Step 1:

The curve equations are $\"\"$ and $\"\"$ .

To find the point of intersection, equate the above equations $\"\"$ and $\"\"$ .

$\"\"$

Step 2:

The volume of the solid $\"\"$ is $\"\"$ , where $\"\"$ is the cross sectional area of the solid $\"\"$ .

$\"\"$

Here,

The outer radius of revolution is $\"\"$

The inner radius of revolution is $\"\"$ .

Integrate under the region $\"\"$ .

$\"\"$

The volume of region bounded by the curves is $\"\"$ cubic units.

Solution:

The volume of region bounded by the curves is $\"\"$ cubic units.