$\"\"$

The function is $\"\"$ .

Disk method: Vertical axis of revolution.

Formula for the volume of solid using the disk method, $\"\"$ .

The curve equation is $\"\"$ .

Solve for $\"\"$ .

$\"\"$

$\"\"$ .

In this case $\"\"$ .

From the graph, integral limits are $\"\"$ and $\"\"$ .

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

$\"\"$

$\"\"$ .

Therefore, the integral that gives the volume of the solid formed by revolving the region about the $\"\"$ -axis is $\"\"$ .

The integral that gives the volume of the solid formed by revolving the region about the $\"\"$ -axis is $\"\"$ .