A typical hot air balloon can carry 3–5 passengers in a wicker basket and has a total mass of  m = 470 kg  including passengers, not including the mass of air inside the balloon. The density of hot air inside the stationary balloon is  ?hot = 0.960 kg/m3  and the density of the cooler outside air is  ?cool = 1.22 kg/m3. Determine the volume of hot air required for the balloon to be in equilibrium so that it neither sinks nor rises in the air.

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