(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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 .04 cm thick.

2. Relevant equations

dz = (dz/dx) dx + (dz/dy) dy

3. The attempt at a solution

To find the area of the tin can we can see it as a rectangle. Since the diameter is given as 8cm, we can find the circumference 2(pi)r.

Surface Area (SA)=height(h) x circumference(C)

dSA=(dSA/dh) dh + (dSA/dC) dC

dh = (.04)(2) = dC

dSA=C(.08)+ h(.08)

With this I can find the error in finding the surface area, but I don't know how to figure out what the total surface area is.

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# Homework Help: Differentials and area

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