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Find the Volume of the Solid Generated by Revolving the Region

Question 174

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the second quadrant bounded above by the curve y=4x2y = 4 - x ^ { 2 } , below by the xx -axis, and on the right by the yy -axis, about the line x=1x = 1


A) 25615π\frac { 256 } { 15 } \pi
B) 8π8 \pi
C) 563π\frac { 56 } { 3 } \pi
D) 323π\frac { 32 } { 3 } \pi

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