a cylindrical can is to hold 1/2 cup of tomato sauce. what are the dimension of its diameter and height in centimeters to minimize the amount of metal to make the can ? V= pi. d^2h/4, A= pi.d^2/2 + pi.dh, 1qt=946cc

Question

anonymous · Answer

good question.  You will have to determine the amount of metal required as a function of d,  Determine h from d in your volume function, fixing volume to a constant.

In short, solve the volume equation for h, then substitute that in the place of h in the area equation
plot to find the minimum, or take the derivative to find where the derivative equals zero.  This should be your optimal point.