A can in the shape of a right circular cylinder is to be constructed to contain 1000 cm3. The circular top and bottom ofthe 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 ofthe can so that a seal can be formed. Find, to within 10^4, the minimal amount of material needed to construct the can.
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