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For the following exercises, use the theorem of Pappus to determine the volume of the shape.A sphere created by rotating a semicircle with radius $a$ around the $y$ -axis. Does your answer agree with the volume of a sphere?

$\frac{4 a^{3} \pi}{3}$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

Campbell University

Idaho State University

Boston College

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