Find the Volume of the Solid Generated by Revolving the Region

question 174

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 $y = 4 - x ^ { 2 }$ , below by the $x$ -axis, and on the right by the $y$ -axis, about the line $x = 1$

• A) \(\frac { 256 } { 15 } \pi\)
• B) \(8 \pi\)
• C) \(\frac { 56 } { 3 } \pi\)
• D) \(\frac { 32 } { 3 } \pi\)

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