The height of a cone is increasing at a constant rate of 4 feet per second, and the volume is increasing at a rate of 862 cubic feet per second. At the instant when the radius of the cone is 7 feet and the volume is 410 cubic feet, 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 15PFA
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Jan 07, 12:49:17 PM.
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The height of a cone is increasing at a constant rate of 4 feet per second, and the
volume is increasing at a rate of 862 cubic feet per second. At the instant when the
radius of the cone is 7 feet and the volume is 410 cubic feet, what is the rate of change
of the radius? The volume of a cone can be found with the equation V = Trh.
Round your answer to three decimal places..
ft
Subrnit Answer
Answer:
sec
attempt 1 out of 2
Transcribed Image Text:Jan 07, 12:49:17 PM. Watch help video The height of a cone is increasing at a constant rate of 4 feet per second, and the volume is increasing at a rate of 862 cubic feet per second. At the instant when the radius of the cone is 7 feet and the volume is 410 cubic feet, what is the rate of change of the radius? The volume of a cone can be found with the equation V = Trh. Round your answer to three decimal places.. ft Subrnit Answer Answer: sec attempt 1 out of 2
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