a balloon has the shape of a right circular cylinder of radius rand length I with a hemisphere at each end of radius r. The balloon is being filled at a rate of 7 cm3/sin such a way that l increases four times as fast as r. Find the rate of change of r when r = 5 cm andl = 8 cm.

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Answered: a balloon has the shape of a right…

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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a balloon has the shape of a right circular cylinder of radius r and length I with a hemisphere at each end of radius r. The balloon is being filled at a rate of 7 cm /s in such a way that l increases four times as fast as r. Find the rate of change of r whenr = 5 cm and 1= 8 cm.