The base of S is a circular disk with radius 3r. Parallel cross-sections perpendicular to the base are isosceles triangles with height 8h and unequal side in the base.

Question

a. set up an interval for volume of S
b. by interpreting the intergal as an area, find the volume of S

Answer 1

with a slight change to the numbers, this question is treated at

http://www.jiskha.com/display.cgi?id=1392927547