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Find the Volume of the Solid Generated by Revolving the Region

Question 8

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=4x = 4 , and below by the xx -axis


A) 30725π\frac { 3072 } { 5 } \pi
B) 64π64 \pi
C) 10245π\frac { 1024 } { 5 } \pi
D) 20485π\frac { 2048 } { 5 } \pi

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