Find the Volume of the Solid Generated by Revolving the Region

question 53

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the second quadrant bounded above by the curve $y = 16 - x ^ { 2 }$ , below by the $x$ -axis, and on the right by the $y$ -axis, about the line $x = 1$

• A) \(128 \pi\)
• B) \(\frac { 64 } { 3 } \pi\)
• C) \(\frac { 8192 } { 15 } \pi\)
• D) \(\frac { 640 } { 3 } \pi\)

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