How high will a hot air balloon rise if the temperature inside is maintained at 330 K? Assume that the ambient temperature is 300 K. Assume that the pressure inside and outside are the same, but the density inside is reduced by heating. It is convenient to reference the calculation to the temperature of the atmosphere T0 = 300 K. This temperature corresponds to the density at sea level. To what height does the air balloon rise? Please give your answer in meters.