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Minimize Cost by Minimizing Volume of a Cylindrical Can

We've got a cylindrical can with height =h and radius =r. It will hold 4L (4,000 cm cubed) of some liquid. The material for the top and bottom costs 2 cents per square cm and the material for the side costs 1 cent per square cm. Find h and r to minimize the cost.

keywords: derivative, differentiation, differentiate, minimization

Solution Summary

Cost of manufacturing a can is minimized. The solution is detailed and well presented.