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Find the Volume of the Solid Generated by Revolving the Region

Question 153

Multiple Choice

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=x3y = x ^ { 3 } , on the right by the line x=2x = 2 , and below by the xx -axis


A) 4π4 \pi
B) 325π\frac { 32 } { 5 } \pi
C) 645π\frac { 64 } { 5 } \pi
D) 965π\frac { 96 } { 5 } \pi

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