Use the Theorem of Pappus to Find the Volume of the Solid

question 40

Multiple Choice

Use the Theorem of Pappus to find the volume of the solid obtained by revolving the region bounded by the graphs of $y = 16 - x ^ { 2 } , y = 16$ , and $x = 4$ about the $y$ -axis.

• A) \(128 \pi\)
• B) \(\frac { 512 } { 3 } \pi\)
• C) \(\frac { 128 } { 3 } \pi\)
• D) \(32 \pi\)

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