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.