Posted by steve on Friday, March 15, 2013 at 4:07pm.
You do not say what is in the balloon. Is it Helium, Hydrogen, or hot air?
In any case use Archimedes who is very good at lifting things.
Force up = volume of air displaced times density of air times gravity, (4/3)pi r^3 * density of air at 20 degrees C * g
Weight of interior gas down = same equation but use density of interior gas
so in the end
100 * g = (4/3) pi r^3 [ density air - density gas] * g
Notes :
g cancels
that gives you r, multiply by 2 for d
the gas is mainly methane gas and has a density of about 0.72 kilograms per cubic meter so you know that a balloon filled with natural gas will float because the density is lower than air
Those are the options.I dont get any of those in my calculation but ill continue to try it. Thanks
about 8.5 meters in diameter
about 10.75 meters in diameter
about 7.3 meters in diameter
about 9.2 meters in diameter
about 7.6 meters in diameter
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