The height of a cone is increasing at a constant rate of 6 centimeters per minute. The volume remains a constant 494 cubic centimeters. At the instant when the height of the cone is 6 centimeters, what is the rate of change of the radius? The volume of a cone can be found with the equation V Tr²h. Round your answer to three decimal places.
The height of a cone is increasing at a constant rate of 6 centimeters per minute. The volume remains a constant 494 cubic centimeters. At the instant when the height of the cone is 6 centimeters, what is the rate of change of the radius? The volume of a cone can be found with the equation V Tr²h. Round your answer to three decimal places.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.CR: Review Problem Set
Problem 62CR
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Transcribed Image Text:The height of a cone is increasing at a constant rate of 6 centimeters per minute. The
volume remains a constant 494 cubic centimeters. At the instant when the height of
the cone is 6 centimeters, what is the rate of change of the radius? The volume of a
cone can be found with the equation V = r²h. Round your answer to three
decimal places.
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