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

question 64

Multiple Choice

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

• A) \(\frac { 1 } { 2 } \pi ^ { 3 }\)
• B) \(\pi ^ { 2 }\)
• C) \(\pi ^ { 3 }\)
• D) \(4 \pi ^ { 2 }\)
• E) \(2 \pi ^ { 2 }\)
• F) \(2 \pi ^ { 3 }\)
• G) \(\frac { 1 } { 2 } \pi ^ { 2 }\)
• H) \(4 \pi ^ { 3 }\)

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