Let V Be the Volume of the Solid That Lies $y = 0$

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 $y = x ^ { 2 }$ and they are equilateral triangles with bases in the xy-plane. Then V is

A) $\frac { 64 \sqrt { 3 } } { 5 }$
B) $\frac { 56 \sqrt { 3 } } { 5 }$
C) $\frac { 48 \sqrt { 3 } } { 5 }$
D) $\frac { 32 \sqrt { 3 } } { 5 }$
E) $\frac { 8 \sqrt { 3 } } { 5 }$