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Find the Volume of the Solid Generated by Revolving the Region

Question 246

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the first quadrant bounded above by the line y=1y = 1 , below by the curve y=sin4xy = \sqrt { \sin 4 x } , and on the left by the yy -axis, about the line y=1y = 1


A) π28+π4\frac { \pi ^ { 2 } } { 8 } + \frac { \pi } { 4 }
B) π814\frac { \pi } { 8 } - \frac { 1 } { 4 }
C) π4+4\frac { \pi } { 4 } + 4
D) π28π4\frac { \pi ^ { 2 } } { 8 } - \frac { \pi } { 4 }

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