In this problem, you will derive the formula for the volumeof a right circular cone with

Chapter 8, Problem 55

(choose chapter or problem)

In this problem, you will derive the formula for the volumeof a right circular cone with height l and base radiusb by rotating the line y = ax from x = 0 to x = l aroundthe x-axis. See Figure 8.111.(a) What value should you choose for a such that thecone will have height l and base radius b?(b) Given this value of a, find the volume of the cone.

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