A manufacturing design calls for a closed right circular cylinder that will contain…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A manufacturing design calls for a closed right circular cylinder that will contain 1000 cm31000\ \text{cm}^3 of liquid while using the least total amount of material. Determine, to the nearest tenth of a centimeter, the radius and height of the cylinder that achieve this minimum.

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