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Differentials Problem

  • Thread starter bodensee9
  • Start date
178
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1. Homework Statement
Sorry, this may sound dumb, but How do I use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick?


2. Homework Equations
The volume of the can is V = pi*r^2h. So dV= 2*pi*rh*dr


3. The Attempt at a Solution

Could someone point out what I am doing wrong? I thought that since volume is pi*r^2h, and so dv = 2*pi*rhdr. So, wouldn't I just plug in 2*pi*4*12*0.04 to arrive at an estimate of the amount of the tin? Thanks so much!!
 

Answers and Replies

103
0
You are correct =).

V = pi * r^2 * h
dV = 2 * pi * h * r * dR
dV = 2 * pi * 12 * 4 * 0.04
 

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