The volume of a certain cone for which the sum of its radius, r, an height is constant is given by V=1/3(pi)r2(10-r). The rate of change of the radius of the cone with repect to time is 6. In terms of r, what is the rate of change of the volume of the cone with respect to time?

The volume of a certain cone for which the sum of its radius, r, an height is constant is given by V=1/3(pi)r2(10-r). The rate of change of the radius of the cone with repect to time is 6. In terms of r, what is the rate of change of the volume of the cone with respect to time?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

The volume of a certain cone for which the sum of its radius, r, an height is constant is given by V=1/3(pi)r²(10-r). The rate of change of the radius of the cone with repect to time is 6. In terms of r, what is the rate of change of the volume of the cone with respect to time?

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