Proof Prove the following Theorem of Pappus: Let be a region in a plane and let be a

Chapter 14, Problem 49

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Proof Prove the following Theorem of Pappus: Let R be a region in a plane and let L be a line in the same plane such that L does not intersect the interior of R. If r is the distance between the centroid of R and the line, then the volume V of the solid of revolution formed by revolving R about the line is given by \(V=2 \pi r A\), where A is the area of R.

Text Transcription:

V=2 pi rA

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