Let V Be the Volume of the Solid Generated by Revolving

Multiple Choice

Let V be the volume of the solid generated by revolving the region enclosed by $y = 2 x ^ { 2 },$ the x-axis, $x = 1 ;$ about the x-axis. Then V is

A) $\frac { 4 \pi } { 3 }$
B) $\frac { 4 \pi } { 5 }$
C) $\frac { 8 \pi } { 3 }$
D) $\frac { 8 \pi } { 5 }$
E) $\frac { \pi } { 5 }$