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Um, is this waterproof to 5 m as written in the description, or 5 atm as in the specs. That's an order of magnitude different (5 atm = 50meter).
It's 5 atm. Fixing the typo now. Thanks for catching that.
1 atm = 101325 Pa
So 5 atm = 506625 Pa
P = ρgh where we assume the density of water is 1000 kg/m^3 and g = 9.81 m/s^2
Substituting our values into the equation we get,
506625 = 1000*9.81*h
Rearranging the above and we come to...
h = 51.64m
Yup, that checks out