The radius of a cylindrical tube is increasing at a rate of 2 meters per hour, and the height of the cylinder is decreasing at a rate 5 meters per hour. At a certain instant, the base radius is 4 meters and the height is 6 meters . What is the rate of change of the volume of the cylinder at the instant?
The radius of a cylindrical tube is increasing at a rate of 2 meters per hour, and the height of the cylinder is decreasing at a rate 5 meters per hour. At a certain instant, the base radius is 4 meters and the height is 6 meters . What is the rate of change of the volume of the cylinder at the instant?
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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The radius of a cylindrical tube is increasing at a rate of 2 meters per hour, and the height of the cylinder is decreasing at a rate 5 meters per hour. At a certain instant, the base radius is 4 meters and the height is 6 meters . What is the rate of change of the volume of the cylinder at the instant? What is the ratio of the instantaneous radius to the altitude at the instant when the rate of the volume is neither increasing nor decreasing?
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