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The base of $S$ is a circular disk with radius $r .$ Parallel cross-sections perpendicular to the base are isosceles triangles

with height $h$ and unequal side in the base.

(a) Set up an integral for the volume of $S .$

(b) By interpreting the integral as an area, find the volume

of $S .$

$$

V=\frac{1}{2} \pi r^{2} h

$$

Applications of Integration

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Campbell University

Harvey Mudd College

University of Nottingham

Idaho State University

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