Solve the Problem $x$ -Axis and the Curve $y = x \cos x , 0 \leq x \leq \pi / 2$

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region in the first quadrant bounded by the $x$ -axis and the curve $y = x \cos x , 0 \leq x \leq \pi / 2$ about the $y$ -axis.

A) $\frac { \pi ^ { 3 } } { 2 } + 2 \pi ^ { 2 } - 4 \pi$
B) $\frac { \pi ^ { 3 } } { 2 } - 4 \pi$
C) $\frac { \pi ^ { 2 } } { 2 } - 4 \pi$
D) $\frac { \pi ^ { 3 } } { 2 } - 8 \pi$