Calculate Balloon Volume from Helium Mass: 199 kg

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SUMMARY

The discussion centers on calculating the volume of a balloon filled with 199 kg of helium. The user seeks a formula that does not require the balloon's radius. They reference that each cubic foot of helium can lift 0.069 lb, leading to the consideration of converting 199 kg to pounds and using this lifting capacity for calculations. The user also mentions the density of helium as 0.179 kg/m³, indicating a potential method for calculating the volume based on mass and density.

PREREQUISITES
  • Understanding of basic physics principles related to buoyancy and gas density
  • Knowledge of unit conversions between kilograms and pounds
  • Familiarity with the formula for volume based on mass and density
  • Basic understanding of lifting capacity of gases
NEXT STEPS
  • Research the formula for calculating volume using mass and density, specifically for gases
  • Learn about the properties of helium, including its lifting capacity and density
  • Explore unit conversion techniques between metric and imperial systems
  • Investigate buoyancy principles and their applications in real-world scenarios
USEFUL FOR

Students in physics, engineers working with gas-filled structures, and anyone interested in the practical applications of buoyancy and gas properties.

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The total mass of helium in a balloon is 199 kg. What is the volume of the balloon? Enter only the numeric portion of the answer, not the units.

That is the problem. I am having trouble locating a simple formula for this. All I can seem to find involve having the radius of the balloon which I do not have. In the book it says each cubic foot of helium can lift .069 lb, so this may play a factor but I am unsure of how exactly. I have thought about converting 199KG to lbs and dividing by .069. Is this thinking correct?
 
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Helium = 0.179 so maybe I can take 199kg times .179 and that 35.621 kg is this correct?
 

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