A hot air balloon is designed to support the basket, the cables, and a person, which corresponds to a total weight of 1300N. The material of the balloon has a mass of 60g/m^2. Ambient air is at 25°C and 1 atm. The air inside the balloon is at 75°C and 1 atm. If the ballon is considered to be spherical, which diameter will support the weight?

A hot air balloon is designed to support the basket, the cables, and a person, which corresponds to a total weight of 1300N. The material of the balloon has a mass of 60g/m^2. Ambient air is at 25°C and 1 atm. The air inside the balloon is at 75°C and 1 atm. If the ballon is considered to be spherical, which diameter will support the weight?