Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.
-The region in the first quadrant bounded by $x = 3 y - y ^ { 2 }$ and the $y$-axis about the $y$-axis
A) $\frac { 81 } { 5 } \pi$
B) $\frac { 243 } { 10 } \pi$
C) $\frac { 243 } { 40 } \pi$
D) $\frac { 81 } { 10 } \pi$

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The Answer of Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.
-The region in the first quadrant bounded by $x = 3 y - y ^ { 2 }$ and the $y$-axis about the $y$-axis
A) $\frac { 81 } { 5 } \pi$
B) $\frac { 243 } { 10 } \pi$
C) $\frac { 243 } { 40 } \pi$
D) $\frac { 81 } { 10 } \pi$

Find the Volume of the Solid Generated by Revolving the Region