A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
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h : height of cylinder, r : radius of cylinder

want know：
Radius = ?cm； Height= ? cm
Minimum cost = ? cents

Question

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
--------------------------------------
h : height of cylinder, r : radius of cylinder

want know：
 Radius = ?cm；  Height= ? cm
Minimum cost = ? cents