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WZ
Numerade Educator

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Problem 44 Easy Difficulty

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 $S .$

Answer

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

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WZ
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