Use the Method of Cylindrical Shells to Find the Volume $y = x ^ { 2 } , y = 0 , x = 1 , x = 6 ;$

Multiple Choice

Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the specified axis. $y = x ^ { 2 } , y = 0 , x = 1 , x = 6 ;$ about $x = 1$

A) $18,150 \pi$
B) $3,025 \pi$
C) $\frac { 6 \pi } { 3,025 }$
D) $3,413 \pi$
E) $\frac { 3,025 \pi } { 6 }$