A circular cone is being deformed in such a way that: -Radius r is growing at a rate of 3 cm/s -The volume V of the cone is kept constant. At the time when the cone's radius is 11 cm and the height is 7 cm, what is the rate in cm/s at which the cone's height h decreases? Comments:
A circular cone is being deformed in such a way that: -Radius r is growing at a rate of 3 cm/s -The volume V of the cone is kept constant. At the time when the cone's radius is 11 cm and the height is 7 cm, what is the rate in cm/s at which the cone's height h decreases? Comments:
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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A circular cone is being deformed in such a way that:
-Radius r is growing at a rate of 3 cm/s
-The volume V of the cone is kept constant.
At the time when the cone's radius is 11 cm and the height is 7 cm, what is the rate in cm/s at which the cone's height h decreases?
Comments:
-Volume of a circular cone of height h and radius r: V=πr2h/3.
-To avoid anguish in the interpretation of ``decrease/increase'' and the signs, the two possibilities are correct.
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