Advanced Math Transcribed Image Text: A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The

Excerpt
cylinder: V = Tr?h Area of the sides: A = 2rrh Area of the top/bottom: A = Tr To minimize the cost of the can: The radius of the can should be: The minimum cost should be: cents The height of the can should be:

Advanced Math Transcribed Image Text: A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the
sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can
need to be tcker, and costs 0.07 cents per square centimeter. Find the dimensions for the can that will
minimize production cost.
Helpful information:
h: height of can, r : radius of can
Volume of a cylinder: V = Tr?h
Area of the sides: A = 2rrh
Area of the top/bottom: A = Tr
To minimize the cost of the can:
The radius of the can should be:
The minimum cost should be:
cents
The height of the can should be:

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