$\"\"$

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

Method of Cylinders :

The volume of the solid obtained by rotating about the $\"\"$ -axis the region under the curve is

$\"\"$ .

Find the point of intersections.

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Integral limits are $\"\"$ to $\"\"$ .

$\"\"$

Region is rotated about $\"\"$ -axis.

Rewrite the curve $\"\"$ as $\"\"$ .

Volume of the solid obtained by rotating about the $\"\"$ -axis the region under the curve $\"\"$ and $\"\"$ is

$\"\"$

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

$\"\"$

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