Find the Area of the Surface Generated by Revolving the Curve

Multiple Choice

Find the area of the surface generated by revolving the curve about the x-axis. $y = \frac { 1 } { 7 } x ^ { 3 } , 0 \leq x \leq 7$

A) $\left( 442 ^ { \frac { 3 } { 2 } } + 1 \right) \pi$
B) $\frac { 7 \left( 64 ^ { \frac { 3 } { 2 } } + 1 \right) } { 51 } \pi$
C) $\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } - 1 \right) } { 27 } \pi$
D) $\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } - 1 \right) } { 51 } \pi$
E) $\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } + 1 \right) } { 27 } \pi$