Set up and DO NOT EVALUTE an integral $($with respect to $y)$ that computes the volume of the solid generated when the $($only$)$ finite region trapped between the curve $x=y^2-4y+4$ and the line $y=x$

$($a$)$ is revolved about the $x-$axis, and

$($b$)$ is revolved about the line $y=7.$

Draw a box around your final answers. Work shown will be graded.