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Find the Volume of the Solid Generated by Revolving the Region

Question 5

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region enclosed by x=2tany7,x=0,y=7π4x = 2 \tan \frac { y } { 7 } , x = 0 , y = - \frac { 7 \pi } { 4 }


A) 28π7π228 \pi - 7 \pi ^ { 2 }
B) 287π28 - 7 \pi
C) 14π72π214 \pi - \frac { 7 } { 2 } \pi ^ { 2 }
D) 7π+7π27 \pi + 7 \pi ^ { 2 }

Correct Answer:

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