The volume, V, of a cone of radius r and height h is given by v=1/3pir^2h. When the radius is 5 and the height is 10 the radius is changing at a rate of 2 and the height is changing at a rate of 3. At this time find the rate at which the volume is changing. Your final answer should be correct to 3 places after the decimal point.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The volume, V, of a cone of radius r and height h is given by v=1/3pir^2h. When the radius is 5 and the height is 10 the radius is changing at a rate of 2 and the height is changing at a rate of 3. At this time find the rate at which the volume is changing. Your final answer should be correct to 3 places after the decimal point.

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