Helium-filled balloon tied to mass

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Linus Pauling
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1. A 1.10 balloon is filled with helium gas until it becomes a 24.0 -diameter sphere. What maximum mass can be tied to the balloon (with a massless string) without the balloon sinking to the floor? (in grams)



2. F = ma
pA = p*pi*r^2




3. radius = 0.12m

F_air = p*pi*r^2 = 4583N, assuming 1atm pressure i.e. 101,300Pa

F_air = mg

m= F_air / g = 467000 grams
 
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I assume this is the wrong approach?
 
Nevermind, I got it.
 
What's Archimedes' buoyant force?