Find the Volume of the Solid Obtained When the Region $y = \sin x , 0 \leq x \leq \pi$

Multiple Choice

Find the volume of the solid obtained when the region bounded by the curve $y = \sin x , 0 \leq x \leq \pi$ and the x-axis is rotated about the y-axis.

A) $\frac { 1 } { 2 } \pi ^ { 3 }$
B) $\pi ^ { 2 }$
C) $\pi ^ { 3 }$
D) $4 \pi ^ { 2 }$
E) $2 \pi ^ { 2 }$
F) $2 \pi ^ { 3 }$
G) $\frac { 1 } { 2 } \pi ^ { 2 }$
H) $4 \pi ^ { 3 }$