Let $Sbe$ the region bounded between the curves $y=arcsin(x),y=\frac{}{2},$ and $x=0,as$

shown $in$ the following figure.

$(a)$ Set $upan$ integral expression $(Do$ not Calculate the Integral$)$ calculating the

volume $of$ the solid obtained $by$ rotating $S$ about the $x-$axis.

$(b)$ Calculate the volume $of$ the solid obtained $by$ rotating $S$ about the $y-$axis.