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The volume V of a right circular cylinder is given by V=² h, where r is the radius and h is the height. If h is held fixed at h = 3 inches, find the rate of change of V with respect to r when r=2 inches The rate is in². (Type an exact answer in terms of .)

The volume V of a right circular cylinder is given by V=² h, where r is the radius and h is the height. If h is held fixed at h = 3 inches, find the rate of change of V with respect to r when r=2 inches The rate is in². (Type an exact answer in terms of .)

Calculus: Early Transcendentals
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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Question
The volume V of a right circular cylinder is given by V = r² h, where r is the radius and h is the height. If h is held fixed at h = 3 inches, find the rate of change of V with respect to r when r = 2 inches. The rate is in². (Type an exact answer in terms of .) (...
Transcribed Image Text:The volume V of a right circular cylinder is given by V = r² h, where r is the radius and h is the height. If h is held fixed at h = 3 inches, find the rate of change of V with respect to r when r = 2 inches. The rate is in². (Type an exact answer in terms of .) (...
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