Calculus: Graphical, Numerical, Algebraic
3rd Edition
ISBN: 9780133688399
Author: Finney, Ross L.
Publisher: Pearson/Prentice Hall
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Question
Chapter 5.5, Problem 36E
To determine
To write a differential formula that estimates the change in lateral surface area of a right circular cylinder and to use it to estimate change in lateral surface area.
Expert Solution & Answer
Answer to Problem 36E
The differential equation that estimates the change in lateral surface area of a right circular cylinder is
The change in lateral surface area of the right circular cylinder is
Explanation of Solution
Given information:
The geometrical figure is right circular cylinder,
Height of the right circular cylinder changes from 10 cm to 10.05 cm.
Radius of right circular cylinder is constant
Calculation :
Since
Therefore,
The change in surface area is
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
Ch. 5.1 - Prob. 1QRCh. 5.1 - Prob. 2QRCh. 5.1 - Prob. 3QRCh. 5.1 - Prob. 4QRCh. 5.1 - Prob. 5QRCh. 5.1 - Prob. 6QRCh. 5.1 - Prob. 7QRCh. 5.1 - Prob. 8QRCh. 5.1 - Prob. 9QRCh. 5.1 - Prob. 10QR
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