Answer:602.27 kg
Explanation:
Given
radius of spherical balloon [tex]r=6.55\ m[/tex]
density of helium [tex]\rho _{He}=0.179\ kg/m^3[/tex]
density of air [tex]\rho _{air}=1.29\ kg/m^3[/tex]
mass of structure [tex]m=960\ kg[/tex]
volume of helium inside balloon
[tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}\pi (6.55)^3[/tex]
[tex]V=1406.19\ m^3[/tex]
Net upward Thrust on balloon [tex]F=V\times (\rho _{air}-\rho _{He})g[/tex]
[tex]F=1406.19\times (1.29-0.179)g[/tex]
maximum mass cargo can carry
[tex]m=\frac{F-structure\ weight}{g}[/tex]
[tex]m=1562.27-960[/tex]
[tex]m=602.27\ kg[/tex]
