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Homework Statement
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.
Homework Equations
dz = (dz/dx) dx + (dz/dy) dy
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.