A manufacturer must design an open-top cylindrical container that will hold 600 cm of…

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

Problem

A manufacturer must design an open-top cylindrical container that will hold 600 cm3^{3} of liquid. Material for the circular base costs twice as much per square centimeter as the material for the lateral surface. Determine the radius of the cylinder that minimizes the total material cost. Give the radius in centimeters, accurate to two decimal places.

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