Question

A spherical balloon has a radius of 7.15 m and is filled with helium. The density of helium is 0.179 kg/m^3, and the density of air is 1.29 kg/m^3. The skin and structure of the balloon has a mass of 910 kg. Neglect the buoyant force on the cargo volume itself.

Determine the largest mass of cargo the balloon can lift.

Answer 1

Volume of ballon=(4/3)*pi*r³

                                =(4/3)*3.14*7.15³

                                =1531.1 m³

Mass the ballon can carry=volume*[density of air-density of helium]

                                =1531.1*[1.29-0.179]

                                =1701 kg

Mass of cargo=1701-910=791 kg