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Assume the radius of the base is x, and the height of the cylinder is h. Write h in terms of x. You will need the formula: volume of cylinder = area of base' height. Write the surface area of the cylinder as a function of x.The surface area of the cylinder = area of the base + area of the sides. Find the domain of the surface area function. Find the critical number(s) of the area function. Find the x value that yields the minimum surface area.Make sure to check that this x value indeed yields the minimum surface area. Find the minimum value of the area function over its domain. ) Check that h/x = 1. If h/x is not equal to 1, something went wrong.

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