Prove the following Theorem of Pappus: Let R be a region in a plane and let L
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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 = 2πrA, where A is the area of R.
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