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For the following exercises, use the theorem of Pappus to determine the volume of the shape.A general cylinder created by rotating a rectangle with vertices $(0,0), \quad(a, 0),(0, b),$ and $(a, b)$ around the $y$ -axis. Does your answer agree with the volume of a cylinder?

$a^{2} b \pi$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

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