$\"\"$

The integral is $\"\"$ .

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

Compare the two integrals $\"\"$ .

The volume of the curve $\"\"$ represents the volume of the solid generated by revolving the region rounded by $\"\"$ , $\"\"$ and $\"\"$ about the $\"\"$ -axis.

$\"\"$

The volume of the curve $\"\"$ represents the volume of the solid generated by revolving the region rounded by $\"\"$ , $\"\"$ and $\"\"$ about the $\"\"$ -axis.