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I assume you are given a cone. In that case, the vertical cross-section of the cone is a right triangle, with the sides related by the formula,
L2 = H2 + r2 (where L is the length, H is the height and r is the radius.)
In that case, rearrange the formula and you'll get
r2 = L2 - H2 or
r = sqrt(L2 - H2).
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