How Much Helium Is Needed to Lift a 4000 kg Load with a 600 kg Weather Balloon?

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SUMMARY

To lift a 4000 kg load using a 600 kg weather balloon filled with helium, the balloon must have a specific volume calculated based on the densities of helium (0.179 kg/m³) and air (1.29 kg/m³). The total weight equation is established as the sum of the weights of the package, balloon, and helium, equating to the buoyant force (Fb) derived from the difference in densities multiplied by the volume (V) and gravitational acceleration (g). The user successfully resolved the calculation after initial confusion regarding the weight of the helium.

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Helium Balloon Question...Help!

A 600 kg weather balloon is designed to lift a 4000 kg package. What volume should the balloon have after being inflated with helium at standard temperature and pressure in order that the total load can be lifted? density of helium .179 and air is 1.29.

I have tried looking at problems that are similar and I set it up like this:

weight total = weight package + weight balloon + weight of helium

weight total = Fb = (density of air - density of helium) V g

However i don't know how to find the weight of the helium?

Help greatly appreciated!
 
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nevermind...figured it out...
 

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