1. A cylindrical soup can of volume 500 cm' is to be constructed. The material for...

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1. A cylindrical soup can of volume 500 cm' is to be constructed. The material for the top costs 0.4e/cm, while the material for the bottom and the sides costs 0.2/cm. Find the dimensions (correct to one decimal place) that will minimize the cost for producing the can. Justify your answer [Cylinder formulae: Vrh and Total S4-2rh+2xr] (8 marks) h 1. A cylindrical soup can of volume 500 cm' is to be constructed. The material for the top costs 0.4e/cm, while the material for the bottom and the sides costs 0.2/cm. Find the dimensions (correct to one decimal place) that will minimize the cost for producing the can. Justify your answer [Cylinder formulae: Vrh and Total S4-2rh+2xr] (8 marks) h