Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by $y = x ^ { 3 }$, on the right by the line $x = 4$, and below by the $x$-axis
A) $\frac { 3072 } { 5 } \pi$
B) $64 \pi$
C) $\frac { 1024 } { 5 } \pi$
D) $\frac { 2048 } { 5 } \pi$

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The Answer of Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by $y = x ^ { 3 }$, on the right by the line $x = 4$, and below by the $x$-axis
A) $\frac { 3072 } { 5 } \pi$
B) $64 \pi$
C) $\frac { 1024 } { 5 } \pi$
D) $\frac { 2048 } { 5 } \pi$

Find the Volume of the Solid Generated by Revolving the Region