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Fluid mechanics

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## Homework Statement

A zeppelin of an ellipsoid shape (a=32m, b=c=a/3) iz filled with hydrogen. Pressure of the surrounding air is 100 000 Pa. Temperature of air and hydrogen is 20°C. The mass of an empty (not filled with hydrogen) zeppelin is 10 000 kg. What does the pressure of hydrogen inside the zeppelin have to be, so that the zeppelin floats in air?

## Homework Equations

V=(4*

**π*a*b*c**)/3

pV=nRT

## The Attempt at a Solution

I got the volume of the zeppelin

V=(4*

**π*a*b*c**)/3 = 2859,55 m

^{3}

Then I calculated the weight of this volume of air:

pV = mRT

m = (p*V)/(RT) = 3398,8 kg

And then i got stuck. Please help me.