Finding tension given densities?

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SUMMARY

The discussion focuses on calculating the tension in a vertical line supporting a helium-filled rubber balloon with a mass of 0.0132 kg and a radius of 0.474 m. The balloon is filled with helium at a density of 0.185 kg/m³, while the density of air is 1.29 kg/m³. The weight of the displaced air is calculated using the volume of the sphere and the density of air, which is then used to determine the net force acting on the balloon. The user encountered difficulties in the calculation, specifically in accounting for the mass of the helium.

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An empty rubber balloon has a mass of
0.0132 kg . The balloon is filled with helium
at a density of 0.185 kg/m3
At this density .
the balloon has a radius of 0.474 m .
If the filled balloon is fastened to a vertical
line, what is the tension in the line? The
acceleration of gravity is 9.8 m/s^2

I calculated the Weight of the displaced Air = Volume of Sphere shaped balloon x Density of Air x g

AIr Density = 1.29 kg/m^3
Volume of Sphere = (4/3) pi r^3
r= 0.474mand then subtracted the weight of the balloon = Mass of Balloon x g = 0.0132 Kg x 9.8 m/S^2
and it didnt work... :( any help would be awesome!
 
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