The Region Under the Curve $y=2 \sin ^{2} x$ $0 \leq x \leq \pi$

Multiple Choice

The region under the curve $y=2 \sin ^{2} x$ , $0 \leq x \leq \pi$ is rotated about the x-axis. Find the volume of the resulting solid.

A) $\frac{3}{4}$ $\pi^{2}$
B) $\frac{2}{\pi}$
C) $\frac{6}{\pi^{2}}$
D) $\frac{\pi}{6}$
E) $\frac{\pi^{2}}{6}$