Let V Be the Volume of the Solid That Lies $\frac { 47 \pi } { 3 }$

Multiple Choice

Let V be the volume of the solid that lies between planes perpendicular to the x-axis from x = 0 to x = 2. The cross-sections of this solid perpendicular to the x-axis run from y = 0 to y = x² and they are semicircles with bases in the xy-plane. Then V is

A) $\frac { 47 \pi } { 3 }$
B) $\frac { 25 \pi } { 3 }$
C) $\frac { 7 \pi } { 3 }$
D) $\frac { 9 \pi } { 35 }$
E) $\frac { 4 \pi } { 5 }$