A company manufactures food tins in the shape of cylinders which must have a constant volume of . To lessen material costs the company would like to minimise the surface area of the tins.
By first expressing the height of the tin in terms of its radius , show that the surface area of the cylinder is given by .
Use calculus to find the minimum value for the surface area of the tins. Give your answer correct to 2 decimal places.
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