Find the Volume of the Solid Generated by Revolving the Region

question 246

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the first quadrant bounded above by the line $y = 1$ , below by the curve $y = \sqrt { \sin 4 x }$ , and on the left by the $y$ -axis, about the line $y = 1$

• A) \(\frac { \pi ^ { 2 } } { 8 } + \frac { \pi } { 4 }\)
• B) \(\frac { \pi } { 8 } - \frac { 1 } { 4 }\)
• C) \(\frac { \pi } { 4 } + 4\)
• D) \(\frac { \pi ^ { 2 } } { 8 } - \frac { \pi } { 4 }\)

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