You are designing a new cylindrical can to hold 1 liter (1000 cubic centimeters) of Jake's Special Paint. Find the dimensions that will minimize the cost of metal to manufacture the can.
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Solve  for, say, h and sub into :
This is what is to be minimized. Differentiate, set to 0 and solve for r. Then h will follow.
I believe you will find that the minimum is achieved when the diameter equals the height.
is the derivative:
4 * pi * r - 2000 * r ^ -2
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