A company is manufacturing a trash can with a volume of 4 cubic feet that has a cylindrical body and a hemispherical lid. If the hemispherical it is to be made of a material cost $2.50 per square feet and the cylindrical body and circular below are to be made of material costing $2 per square feet, determine the radius R and the height H of the cylindrical body that will minimize the cost of manufacturing the trashcan. Then find the minimum cost of the trashcan. Hint: you will need the surface area and volume formula for a cylinder and a spear