Find the Volume of the Solid Generated by Revolving the Region

question 19

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region bounded above by the line $y = 3$ , below by the curve $y = 3 \cos ( \pi x )$ , on the left by the line $x = - 0.5$ , and on the right by the line $x = 0.5$ , about the line $y = 3$

• A) \(\frac { 27 } { 2 } \pi - 36\)
• B) \(27 \pi - 18\)
• C) \(\frac { 9 } { 2 } \pi\)
• D) \(\frac { 27 } { 2 } \pi\)

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