Maths geniuses - how many £2 coins can you fit inside a coke can?
I’ve got a coke can piggy bank that I’m using to save up £2 coins… I figure you could fit around £100 (50 coins) in the 330ml can. If each coin weighs 12.0g, can someone do the maths to work out exactly how many would fit?
Here’s the £2 coin specs:
http://www.royalmint.com/Corporate/facts/coins/TwoPoundCoin.aspx
pi x r^2 x height for the volume of the coin. Divide the volume of the can by this. Then times the overall number by ~.75-.8
The last part accounts for all the spaces there will be. Should give you a rough estimate.
Never seen a 2 Pound coin myself…
looks like solid advice to me
This is pretty wrong. Years of professor layton video gaming tells me that there has to be a gap between coins. I’m no math expert, but challenge accepted.
Four coins side-by-side will form a square of sorts, which would be 56.8mm long in each leg. A can is 63.5mm in diameter, with a bit of trig we discover this square would be wider from one corner to the opposite than the can is in diameter. This means that the coins cannot be laid flat in an optimal matter. I’ll do some more math to decide how many can fit in that matter later, but for now I have calculus homework to do.
yeah - I guess it’s one thing if all the £2 coins are melted down into liquid form and poured into the can, and another just placing them inside the can randomly.
does anyone want to make a guess? I’m thinking about 60-70 coins…
If I guess right do I get the can full of coins?
In an ideal mathmatical world my in-boring-lecture guesstimate is 128 + 16. So 144. IF stacked perfectly and the can is 121.92mm in height, 63.5mm in diameter, and isn’t bent in the process; this ignores indents on the top or bottom. Guessing for the dents I would say 132.
There are 11 layers of of two wide coins and 10 layers of 1 deep coins (5 on each side of the 11). This is repeated 4 times along the height of the can. There would be enough space in the top of the can to stack eight coins, sixteen if your persistent. With the dent in the bottom, which I can’t find numbers for, I would imagine that the space for the 16 coins would be shattered, maybe reducing it to 4 additional coins, landing you at about 132.
This is assuming you could even position all these coins via the small hole in a coke can, but if I was given a few hours and a cloth glove I think I could pull it off.
excellent - what I really wanted to know was if I can save £200 (100 coins).
I’ve actually superglued the coke can piggy bank shut so I can only put money in to the slot and not take the money out. My plan is to never spend £2 coins when I get them, but to save them inside the coke can. Just wanted to get an idea of how many I’d have once the can is full.
Isn’t a £2 coin a bit big to go in the hole in a can?
Completely off topic, I saw a can of Milo drink at a food fair this weekend and automatically thought of this place.
You should put all your coins in a milo tin.
I’m going to drive past the birthplace of milo this weekend actually. Milo (drink) - Wikipedia
it’s not a real coke can… it’s a coke can with a removable top (now superglued shut!) and a small coin slot in the top (ie it’s a piggy bank)
and yeah, I’d love a Milo can instead!