The total mass of helium in a balloon is 114 kg. What is the volume of the balloon?

To find the volume of the balloon, we need to know the density of helium. The density of helium can vary slightly depending on the temperature and pressure, but at standard conditions, it is approximately 0.1785 kg/m^3.

With this information, we can use the formula:

Density = Mass / Volume

Rearranging the formula, we can solve for volume:

Volume = Mass / Density

Given that the mass of helium is 114 kg and the density of helium is 0.1785 kg/m^3, we can substitute these values into the formula:

Volume = 114 kg / 0.1785 kg/m^3

Performing the calculation:

Volume ≈ 639.56 m^3

Therefore, the volume of the balloon is approximately 639.56 cubic meters.