A balloon ☺?
filled w/ helium plus air at atmospheric pressure is designed to support a mass of 117 kg (payload + empty balloon). Ignoring the volume of the payload, find the volume of the baloon in units of m^3.
Other data given: Air density is 1.29 kg/m^3, helium plus air density in the balloon is 0.466 kg/m^3, and helium density is 0.179 kg/m^3.
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It's the wieght of the air displaced that gives the lift (minus the weight of the stuff in the balloon). So
117/(1.29-.466) = 142 m^3