Let V Be the Volume of the Solid That Lies $y = x ^ { 2 }$

Multiple Choice

Let V be the volume of the solid that lies between planes perpendicular to the x-axis from x = 0 to x = 3. The cross-sections of this solid perpendicular to the x-axis run from $y = x ^ { 2 }$ to $y = 3 \sqrt { 3 x }$ and they are squares with bases in the xy-plane. Then V is

A) $\frac { 2187 } { 70 }$
B) 144
C) $\frac { 256 } { 3 }$
D) $\frac { 72 } { 35 }$
E) $\frac { 32 } { 5 }$