Activity 1 A can company wants to produce a cylindrical container with a capacity of 1000 cubic centimetres. The top and bottom of the container must be made of material that costs $0.05 per square centimetre, while the sides of the container can be made of material costing $0.03 per square centimetre. Find the dimensions that will minimize the total cost of the container. ( 30 marks ) Area = 7trz Top h Area = 2rrh Lateral surface Area = ntr2 Bottom Figure above shows a cylindrical container and the area of its top, bottom, and lateral surfaces