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

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To lift a 4000 kg load with a 600 kg weather balloon, the volume of helium needed must account for the total weight, including the balloon and the helium itself. The buoyant force (Fb) is calculated using the difference in densities between air and helium, multiplied by the volume (V) and gravitational acceleration (g). The user initially struggled with determining the weight of the helium but ultimately resolved the issue independently. Understanding the relationship between the weights and densities is crucial for calculating the required balloon volume. The discussion highlights the importance of buoyancy principles in lifting heavy loads with helium-filled balloons.
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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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