Do not try the above, it is not something I would do now that I am older and wiser.![]()
So that would be Smell-ting thenSounds like a good idea to me, it would make good use of loads of useless bits of aluminium. Probably best you don't make anything especially critical from it though as it will likely be far more brittle and weaker than most common alloys.
Oh, and smelting is what you do to ores to turn them into metals, this would be melting.
EDIT: I didn't notice you said drinks cans, I was thinking of scrap aluminium. Drinks cans will surely be a waste of time. Empty cans weigh maybe 15 grams, but having such a high surface area will mean a lot of it will oxidize as Seadog said. If you assume you get 10 grams of useful metal per can, a 2" long piece of 2" round will require 28 cans (Probably a little more as the surface won't be perfect, so you'll have to make it bigger and machine it down). You'll to melt a few hundred to get a decent amount to cast, and even once you've crushed them, hundreds of cans will take up a lot of volume, so you'll be adding them to the crucible one by one, which will take ages and waste loads of gas.
If you do try it, do it on a windy day, because the burning paint and sugary residues absolutely f'kin stinks.