How many nickels will fit in a 2 liter bottle

A nickel has a diameter of 21.21 mm and a thickness of 1.95 mm

2.121 cm diameter

0.195 cm thickness

Think of a nickel as a cylinder

r = 2.121/2 = 1.0605 cm

V = pi * r^2 * h

V = pi * 1.0605^2 * 0.195 cubic cm

2 liters = 2000 cubic cm

2000 / (1.0605^2 * 0.195 * pi) = >

2902.84713216

Your upper limit is 2902, but it could be as little as 0 (for instance if the 2L bottle was only 1 cm wide, then you wouldn't be able to fit a single nickel in there)

I'd say that you could expect about a 70% packing efficiency, just off the top of my head

2900 * 0.7 = >

290 * 7 = >

300 * 7 - 10 * 7 = >

2100 - 70 = >

2030

I'd expect around 2000 nickels would fill up the bottle quite nicely, supposing you can get the nickels into it.