A can in the shape of a right circular cylinder is to be constructed to contain 1000 cm3...

A can in the shape of a right circular cylinder is to be constructed to contain 1000 cm³. The circular top and bottom of the can must have a radius of 0.25 cm more than the radius of the can so that the excess can be used to form a seal with the side. The sheet of material being formed into the side of the can must also be 0.25 cm longer than the circumference of the can so that a seal can be formed. Find, to within 10⁻⁴, the minimal amount of material needed to construct the can.