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) $\frac { 3,025 \pi } { 6 }$

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The Answer of 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) $\frac { 3,025 \pi } { 6 }$

Use the Method of Cylindrical Shells to Find the Volume y=x2,y=0,x=1,x=6;y = x ^ { 2 } , y = 0 , x = 1 , x = 6 ;y=x2,y=0,x=1,x=6;

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