The region below is bounded by $y=5\sqrt[\phantom{2}]{x},y=0$ and $x=9.$

This region is rotates around the vertical line $x=12.$

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:

$$

J

$dy$