2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands as time passes at a rate of 2 ft/min, how fast is the radius r changing whenr- 17 (Hint: z and V are both changing as functions of time; the volume of a cylinder with radius r and height A is Vr?h.)

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...
Question
2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands
as time passes at a rate of 2 ft"/min, how fast is the radius r changing whenr= 1? (Hint:
2 and V are both changing as functions of time; the volume of a cylinder with radius r and
height A is V mrh.)
Transcribed Image Text:2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands as time passes at a rate of 2 ft"/min, how fast is the radius r changing whenr= 1? (Hint: 2 and V are both changing as functions of time; the volume of a cylinder with radius r and height A is V mrh.)
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