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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=6yy2x = 6 y - y ^ { 2 } and the yy -axis about the line x=1x = - 1


A) 12425π\frac { 1242 } { 5 } \pi
B) 33125π\frac { 3312 } { 5 } \pi
C) 49685π\frac { 4968 } { 5 } \pi
D) 16565π\frac { 1656 } { 5 } \pi

Correct Answer:

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