A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material for the sides

Question

of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker,
and costs 0.07 cents per square centimeter. Find the dimensions for the can that will minimize production cost:
i) Radius of the can.
ii) Height of the can.
iii) Minimum cost.
Volume of the cylinder:
Area of sides of the cylinder:
Area of bottom/top of the cylinder:

Answer 1

See the two posts by "bascal"