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:
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
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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