You want to make cylindrical containers to hold 1 liter (1000{{MATH_1}}) using the least amount of construction material. The side is made from a rectangular piece of material, and this can be done with no material wasted. However, the top and bottom are cut from squares of side {{MATH_2}}, so that {{MATH_3}} of material is needed (rather than {{MATH_4}}, which is the total area of the top and bottom). Find the dimensions of the container using the least amount of material. {{CMD_5}} The total area of the material spent consists of the area of the lateral side of the cylinder plus the area of two squares of side {{MATH_6}}. {{MATH_7}}