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Find the Volume of the Solid Generated by Revolving the Region

Question 19

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region bounded above by the line y=3y = 3 , below by the curve y=3cos(πx) y = 3 \cos ( \pi x ) , on the left by the line x=0.5x = - 0.5 , and on the right by the line x=0.5x = 0.5 , about the line y=3y = 3


A) 272π36\frac { 27 } { 2 } \pi - 36
B) 27π1827 \pi - 18
C) 92π\frac { 9 } { 2 } \pi
D) 272π\frac { 27 } { 2 } \pi

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