Step 1:

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

The volume of the solid generated revolving about the $\"\"$ - axis.

Disk method:

$\"\"$

The outer radius of revolution is $\"\"$ .

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

$\"\"$ .

Integrate between 0 and 4.

$\"\"$

Apply formula $\"\"$ .

$\"\"$

The volume of solid is $\"\"$ cubic units.

Solution:

The volume of solid is $\"\"$ cubic units.