Determine the size of spherical balloon required to lift a payload of 1360 kg. The gas to be used is Helium at
101.3 Kpa and 23 0 C. The surrounding air is 101.3 KPa and 10 0 C.
FA=F,F_A=F,FA=F,
ρgV=mg,\rho g V=mg,ρgV=mg,
ρV=m,\rho V=m,ρV=m,
V=mρ,V=\frac m{\rho},V=ρm,
V=πd36,V=\frac{\pi d^3}6,V=6πd3,
d=6mπρ3,d=\sqrt[3]{\frac{6m}{\pi \rho}},d=3πρ6m,
d=24.7 m.d=24.7~m.d=24.7 m.
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