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Find the Volume of the Solid Generated by Revolving the Region

Question 35

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
- y=sin7x,y=1,x=0 to x=π14y = \sqrt { \sin 7 x } , y = 1 , x = 0 \text { to } x = \frac { \pi } { 14 }


A) π214+π\frac { \pi ^ { 2 } } { 14 } + \pi
B) π1417\frac { \pi } { 14 } - \frac { 1 } { 7 }
C) π214π\frac { \pi ^ { 2 } } { 14 } - \pi
D) π214π7\frac { \pi ^ { 2 } } { 14 } - \frac { \pi } { 7 }

Correct Answer:

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