I did a quick calc with the pencil I keep up my ass.
Conservative estimate in ft - 2 x 3 x 8 = 48 x 63lbs per cubic foot = approx. 1.5 tons.
Next I really should try figure how many "large" people could fit on the balcony. Although, skinny and muscular people would be denser. Fat floats.
Then, whomes ever is "densest, what happens when they all try to get in the pool.
The only other realistic (or something close) scenario I can think of, is all of THOSE peeps jumping up and down in unison and in the water.