State the Theorem of Pappus. Data from in Theorem of Pappus THEOREM 7.1 The Theorem of Pappus

State the Theorem of Pappus.

Data from in Theorem of Pappus

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THEOREM 7.1 The 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, as shown in Figure 7.63. 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 V = 2wrA where A is the area of R. (Note that 27r is the distance traveled by the centroid as the region is revolved about the line.)