A closed right circular cylinder must hold of liquid

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A closed right circular cylinder must hold 1000 cm31000\,\text{cm}^3 of liquid. The material for the top and bottom costs 0.050.05 dollars per square centimetre, while the material for the side costs 0.020.02 dollars per square centimetre. Determine the radius, to the nearest hundredth of a centimetre, that minimizes the total cost of materials.

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