Find the Volume of the Solid Generated by Revolving the Region

question 148

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region bounded above by the line $y = 9$ , below by the curve $y = 9 - x ^ { 2 }$ , and on the right by the line $x = 3$ , about the line $y = 9$

• A) \(\frac { 648 } { 5 } \pi\)
• B) \(9 \pi\)
• C) \(\frac { 243 } { 5 } \pi\)
• D) \(\frac { 567 } { 5 } \pi\)

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