$\"\"$

\

The curve is $\"\"$ and the line is $\"\"$ .

\

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

\

Method of Cylinders :

\

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

\

$\"\"$ .

\

Find the point of intersections.

\

Find the values of $\"\"$ for $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

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

\

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

\

Integral limits are $\"\"$ and $\"\"$ .

\

$\"\"$

\

Find the volume obtained by rotating region about $\"\"$ -axis, bounded by the curves $\"\"$ and $\"\"$ from $\"\"$ to $\"\"$ is

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Volume of the solid is $\"\"$ .

\

$\"\"$

\

Volume of the solid is $\"\"$ .