Find the Volume of the Solid Generated by Revolving the Region

question 1

Multiple Choice

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 $x = 6 y - y ^ { 2 }$ and the $y$ -axis about the line $x = - 1$

• A) \(\frac { 1242 } { 5 } \pi\)
• B) \(\frac { 3312 } { 5 } \pi\)
• C) \(\frac { 4968 } { 5 } \pi\)
• D) \(\frac { 1656 } { 5 } \pi\)

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