Question

A helium balloon ride lifts up passengers in a basket. Assume the density of air is 1.28 kg/m3 and the density of helium in the balloon is 0.18 kg/m3. The radius of the balloon (when filled) is R = 4.5 m. The total mass of the empty balloon and basket is mb = 122 kg and the total volume is Vb = 0.066 m3. Assume the average person that gets into the balloon has a mass mp = 74 kg and volume Vp = 0.076 m3.

What is the volume of helium in the balloon when fully inflated?

Answer 1

381.7 m3

Step-by-step explanation:

Assume that the balloon has a spherical shape when inflated. We can calculate the volume of helium air when it's inflated using its radius:

`V = (4)/(3)\pi r^3 = (4)/(3)\pi 4.5^3 \approx 381.7 m^3`

So the volume of air inside the balloon when it's inflated is 381.7 m3