The region below is bounded by $y=4\sqrt[\phantom{2}]{x},y=0$ and $x=9.$

This region is rotates around the vertical line $x=11.$

If we use cylindrical shells, an integral for the volume of this solid is given by:

$$

$$

$dx$

$$

If we use washers, an integral for the area of this solid is given by:

$$

$$

$dy$