In a hot air balloon launch, it was known that the material used in the construction amounts to 200kg and that the loading capacity of the cage was 250kg. If the hot air balloon has to travel in air where the ambient temperature and pressure was 25 degrees C and 101.325kPaa, determine the minimum diameter (meters) of the balloon (assume to be spherical) needed to course the air if the setting temperature of hot air inside the balloon is 80 degrees C. Assume pressure inside the balloon to be atmospheric.

In a hot air balloon launch, it was known that the material used in the construction amounts to 200kg and that the loading capacity of the cage was 250kg. If the hot air balloon has to travel in air where the ambient temperature and pressure was 25 degrees C and 101.325kPaa, determine the minimum diameter (meters) of the balloon (assume to be spherical) needed to course the air if the setting temperature of hot air inside the balloon is 80 degrees C. Assume pressure inside the balloon to be atmospheric.