It depends on how densely they're packed. But to get a first-hand estimate, do the following:
1. Determine the volume of a quarter. See information from the US mint.
Diameter: 24.26 mm; Thickness: 1.75 mm
To get the Volume, use this formula: (pi) r2h.
V = (pi) r2h
V = 3.14 x 12.332 x 1.75
V = 835.4 mm³
2. Get the volume of 2L bottle in cubic millimeters:
2 L = 2000000 mm³
3. Now, divide the volume of the bottle by the volume of a single quarter.
Because of the irregularities of the shape of the container as well as the coin, the quarters only take about 75% of the total volume of the bottle (75% of 2000000 mm³ = 1500000 mm³).
= 1500000 mm³ / 835.4 mm³
= 1,796 quarters
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