Answered: Use differentials to estimate the…

Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20 cm if the tin is 0.04 cm thick. (Round your answer to two decimal places.) 39.21 X cm3

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

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20 cm if the tin is 0.04 cm thick. (Round your answer to two decimal places.)
39.21
X cm3

Expert Solution

Step 1

Solution: The volume of the can is $V = {πr}^{2} h$ where r is the radius of can and h is the height of can.

Given $d r = . 04 c m, r = \frac{6}{2} = 3 c m, h = 20 c m, d h = 2 \times 0.04 = 0.08 c m$

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