anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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.

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