3. 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?

3. 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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

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Answer the following questions with COMPLETE, UNDERSTANDBLE AND CLEAR SOLUTION. Please put an ILLUSTRATION/ DRAWING for every questions and box the final answers.

3. 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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