A company needs to make a cylindrical can that can hold precisely 1.5 liters of liquid. If the entire can is to be made out of the same material, find the dimensions (radius and height) of the can that will minimize the cost. Round your answer to the nearest four decimal places.
Recall that the volume of a cylinder is πr^2h and the surface area is 2πrh+2πr^2 where r is the radius and h is the height. Also note that 1 liter is equal to 1000cm3.
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