How many dimes does it take to fill a 750 ml Moscato wine bottle?

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: 17.91 mm Thickness: 1.35 mm

To get the Volume, use this formula:

(pi) r²h
V = (pi) r²h
V = 3.14 * (8.955)² * 1.35
V = 339.93 mm³

2- Get the volume of 750ml in cubic millimeters:

750ml = 750,000mm³

3- A limit of how many coins would fit is: 750,000mm³ / 339.93 mm³ = 2,206.

But because the coins wouldn't pack that densely, that many would not fit.

4 - Packing circles in a plane would give a density of about 0.9. If you pack the coins neatly into the drum, you'll probably come close to this.

So, there would fit (2,206 * 0.9) about 1985 coins.

Using math and science to inform your estimate could win you some tasty treats, although there may be errors along the way. Here are a couple of easy tricks to send you home with candy you desired so badly that will resort to the use of math in public.

Tags: moscatowine bottledimes 
Friday, December 09 2016
Source: http://io9.gizmodo.com/5868417/use-math-to-cheat-people-out-of-holiday-treats