$\"\"$

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

Shell method:

Vertical axis of revolution.

The volume of the solid is $\"\"$ .

The distance from the center of the rectangle to the axis of revolution is $\"\"$ .

Find the limits of integration by solving point of intersection:

$\"\"$ and $\"\"$ .

$\"\"$

$\"\"$ .

Limits are $\"\"$ .

The height of the rectangle is $\"\"$ .

Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ . $\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .