Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.05 cm thick. Remember we are estimating the amount of material here, not trying to find an exact representation of the amount of material used. How can a differential of the volume of a cylinder help with this? The differential for the volume is

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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Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.05 cm thick.
Remember we are estimating the amount of material here, not trying to find an exact representation of the amount of material used. How can a differential of the volume of a cylinder help with this?
The differential for the volume is
Transcribed Image Text:Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.05 cm thick. Remember we are estimating the amount of material here, not trying to find an exact representation of the amount of material used. How can a differential of the volume of a cylinder help with this? The differential for the volume is
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