Final answer:
The density of the hot air inside the balloon, calculated using Density = Mass / Volume, is approximately 0.0977 kg/m³. This low density contributes to the balloon's ability to float when heated, as it becomes less dense than the surrounding air, showcasing the principles of buoyancy in hot air balloon flight.
Step-by-step explanation:
The density of the hot air in the balloon can be calculated using the formula: Density = Mass / Volume. Given that the mass of the balloon and basket is 216 kg and the volume of the balloon is 2210 m^3, we can substitute these values into the formula to find the density. Density = 216 kg / 2210 m^3 = 0.0977 kg/m^3. Therefore, the density of the hot air in the balloon is 0.0977 kg/m^3. his low density indicates that the hot air in the balloon is less dense than the surrounding air, allowing the balloon to float. Understanding the density of the hot air is crucial in comprehending the principles behind the buoyancy that enables the hot air balloon to ascend when heated.