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A conical paper cup is to hold a fixed volume of water. Find the ratio of height to base radius of the cone which minimizes

A conical paper cup is to hold a fixed volume of water. Find the ratio of height to base radius of the cone which minimizes the amount of paper needed to make the cup. Use the formula

rsqrt(r²+h²) for the area of the side of a cone, called the lateral area of the cone.

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