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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?

Respuesta :

MechEngineer

Answer:

381.7 m3

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:

[tex]V = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi 4.5^3 \approx 381.7 m^3[/tex]

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

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