A cylinder shaped can needs to be constructed to hold 350 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost.

Volume of a cylinder: V = pi r^2 h

Area of the sides: A = 2pi r h

Area of the top/bottom: A = pi r^2

To minimize the cost of the can:
Radius of the can:
Height of the can:
Minimum Cost:

Question

A cylinder shaped can needs to be constructed to hold 350 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost.

Volume of a cylinder: V = pi r^2 h

Area of the sides:  A = 2pi r h

Area of the top/bottom: A = pi r^2

To minimize the cost of the can:
Radius of the can:       
Height of the can:       
Minimum Cost: