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

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