# Math

A ball is filled with helium. If the ball has a diameter of 24 inches, what is the maximum amount of helium that the ball may hold?

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1. no maximum amount. That depends on the pressure. Helium may be added to the ball until its skin ruptures.

However, the volume of the ball is

4/3 pi * 12^3 in^3

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2. I have no idea. It depends on the pressure in the ball and the temperature.

P V = n R T
so
n = moles of He = P V/ (RT) = P (4/3)r^3 /(RT)
a mol of He has mass of 4 grams

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