University of California, Berkeley

$\begin{array}{l}{\text { The base of } S \text { is a circular disk with radius } r . \text { Parallel cross- }} \\ {\text { sections perpendicular to the base are isosceles triangles }} \\ {\text { with height } h \text { and unequal side in the base. }} \\ {\text { (a) Set up an integral for the volume of } S \text { . }} \\ {\text { (b) By interpreting the integral as an area, find the volume }} \\ {\text { of } S .}\end{array}$