A paper cup shaped as a frustum of a cone with R2 = 2R1 is designed to have a volume of 250 cm3. Determine R1, R2, and h such that the least amount of paper will be used for making the cup. The volume and the surface area of the paper cup are given by:

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v = rh(R; + R; + R;R2) S = R(R, + R,)(R,-R,) +h? +n(R;+R)