Set$-$up$,$ but do not evaluate, a single integral to find the volume of the solid generated by revolving the region in the first quadrant bounded by the following situations. Make sure to include a drawing of the solid of revolution that is appropriately labelled.

$($a$)$ The region bounded by the curve $y=-x^{3}2x^{2}8x$ and the $x-$ axis about the line $x=8$

$($b$)$ The region bounded by the curves $y=\sqrt[\phantom{2}]{x-2},x=0,x=6$ and the x $-$ axis about the line $y=-1$