A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the radius and height are both increasing at the rate of 3 cm/s and 8 cm/s, respectively. What is the rate of change of its total surface area when its radius and height are 60 cm and 140 cm, respectively?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 43P: A commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm =...
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A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the radius and
height are both increasing at the rate of 3 cm/s and 8 cm/s, respectively. What is the rate of change
of its total surface area when its radius and height are 60 cm and 140 cm, respectively?
Transcribed Image Text:A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the radius and height are both increasing at the rate of 3 cm/s and 8 cm/s, respectively. What is the rate of change of its total surface area when its radius and height are 60 cm and 140 cm, respectively?
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