An open-top cylindrical vessel must hold of liquid

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

An open-top cylindrical vessel must hold 1000 cm31000\ \text{cm}^3 of liquid. The material for the base costs twice as much per square centimetre as the material for the curved side. Determine, correct to one decimal place, the radius of the base that minimises the total cost of materials.

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