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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Consider the height of the cylinder to be ‘h’ and radius is ‘r’.
From the statements of the problem observe the following
Radius of the lid is
Length of the sheet required is
Width of the sheet is ’h’
Area of the sheet is
Volume off the cylinder is 1000 cm3
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