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Find the Volume of the Solid Obtained When the Region y=sinx,0xπy = \sin x , 0 \leq x \leq \pi

Question 35

Multiple Choice

Find the volume of the solid obtained when the region bounded by the curve y=sinx,0xπy = \sin x , 0 \leq x \leq \pi and the x-axis is rotated about the x-axis.


A) 12π2\frac { 1 } { 2 } \pi ^ { 2 }
B) 13π2\frac { 1 } { 3 } \pi ^ { 2 }
C) π\pi
D) π2\frac { \pi } { 2 }
E) π4\frac { \pi } { 4 }
F) π2\pi ^ { 2 }
G) π3\frac { \pi } { 3 }
H) 14π2\frac { 1 } { 4 } \pi ^ { 2 }

Correct Answer:

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