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Assuming you mean a US $1 coin, all you need are its specifications and a bit of basic geometry:

The coin has a diameter of 26.5 mm; i.e. a radius of 13.25 mm, and a height (thickness) of 2.00 mm. Using the formula for the volume of cylinder V = Π * r**2 * h, the volume is approximately

3.1416 * 13.25**2 *2.00 = 1103 cubic millimeters.

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