# Ring of Gold

Geometry Level pending

A golden ring is to be cast in a circular mold. The circle circumscribes a square whose side $$A$$, is the sum of two portions $$B$$ and $$C$$. The depth of the mold will be equal to $$C$$.

Where $$B = 1 cm$$, and $$\frac{A}{B} = \frac{B}{C}$$, what will be the volume of the opening of the ring in cubic cm, assuming the inside is cylindrical? Round your answer to the nearest ten-thousandth.

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