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

question 48

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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Definitions:

Eclecticism

The practice of integrating techniques, methods, and perspectives from various theoretical frameworks and disciplines.

Borrowing

The act of adopting ideas, practices, or elements from one discipline or methodology into another.

Theory

A system of ideas intended to explain something, especially one based on general principles independent of the thing to be explained.

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An intellectual stance or mode of discourse defined by skepticism toward narratives of historical progress and grand theories.