The height of a cylinder is increasing at a constant rate of 8 centimeters per minute, and the volume is increasing at a rate of 540 cubic centimeters per minute. At the instant when the height of the cylinder is 2 centimeters and the volume is 468 cubic centimeters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V = πr²h. Round your answer to three decimal places.
The height of a cylinder is increasing at a constant rate of 8 centimeters per minute, and the volume is increasing at a rate of 540 cubic centimeters per minute. At the instant when the height of the cylinder is 2 centimeters and the volume is 468 cubic centimeters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V = πr²h. Round your answer to three decimal places.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter57: Fundamental Geometric Constructions
Section: Chapter Questions
Problem 5A: A carbide milling cutter is used for machining a 27.25-inch length of stainless steel. The cutting...
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Transcribed Image Text:The height of a cylinder is increasing at a constant rate of 8 centimeters per minute, and the
volume is increasing at a rate of 540 cubic centimeters per minute. At the instant when the
height of the cylinder is 2 centimeters and the volume is 468 cubic centimeters, what is the rate
of change of the radius? The volume of a cylinder can be found with the equation V = πr²h.
Round your answer to three decimal places.
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