A spherical balloon has a radius of 7.40 m and is filled with helium. Part A How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 990 kg ? Neglect the buoyant force on the cargo volume itself. Assume gases are at 0∘C and 1 atm pressure (rhoair = 1.29 kg/m3, rhohelium = 0.179 kg/m3).

The mass of the cargo is

Explanation:

From the question we are told that

    The radius of the spherical balloon is  

     The mass of the balloon is    

The volume of the spherical balloon is mathematically represented as

substituting values

The total mass  the balloon can lift is mathematically represented as

where is the density of helium with a  value of

and   is the density of air with a value of

substituting values

Now the mass of the cargo is mathematically evaluated as

the components of a vector are the parts of the vectors that are to each other.

b perpendicular