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6. A cylindrical can with volume of 250cm³, will be manufactured with metal for the top and bottom that costs 0.5cents/cm² and a different metal for the sides that cost 0.3 cents/cm².If 0 ≤ r ≤ 5cm, what dimensions (radius and height) will minimize the cost of this can? \mathrm{V}_{\text {cylinder }}=\pi r^{2} h \text { Surface Areacylinke }=2 \pi r^{2}+2 \pi r h \text { (area of top and bottom plus area of side) }

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