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 8cm, and height 12cm, if the tin is 0.04 cm thick. The way I did this was to subtract the Max volume by the Enclosed volume. Max Volume is pi(4)(12) Enclosed Volume is pi ( 8 - 2(0.04) )/2 *12 I got about 12cm^3 How do I do this with differentials ? V = pi*r^2*h dv = 2pi*rh * dr + pi*r^2 dh Then what? I think dr = ( 8 - (8 - 2*0.4) ) / 2 = 0.4 Then what is dh ? Do I have to compare it to the Total volume somehow?