>>13892670Buoyant force = fluid density * volume * g
Helium's weight = helium density * volume * g
Net force = volume * g * (fluid density - helium density)
Weight of mass = mass * g
Basic force balancing: Mass * g = vol. * g * (fl density - he density)
-> vol. = mass/(fl density - he density)
vol. = (4/3) * pi * r^3
r = [(3 * mass) / (4 * pi * {fl density - he density})]^1/3
mass is 1681.7 kg
density difference is 1.11 kg/m^3
>note the units, what you'll end up with is the cube root of m^3, so the result will be in metersSo 7.1249 meters.
If you want to think about it more intuitively, consider that each kilogram of difference between helium and air is a kilogram of mass that it can carry.
Also, I hope this is for some high school physics course or something, if you're trying to get a degree related to STEM and can't even solve this then you'll be fucked.
