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a spherical balloon has a radius of 7.55 m and is filled with helium. the density of helium is 0.179 kg/m3, and the density of air is 1.29 kg/m3. the skin and structure of the balloon has a mass of 970 kg . neglect the buoyant force on the cargo volume itself.

Answer :

Aamirmajeed5100go

The total lift of the balloon is   1,411.74 kg

Step 1: Calculate the volume of the balloon:

V = 4/3πr^3

V = 4/3π*7.55^3

V = 1,630.64 m^3

Step 2: Calculate the mass of the helium:

m_He = V*d_He

m_He = 1,630.64 m^3*0.179 kg/m^3

m_He = 291.33 kg

Step 3: Calculate the mass of the air displaced by the helium:

m_air = V*d_air

m_air = 1,630.64 m^3*1.29 kg/m^3

m_air = 2,090.41 kg

Step 4: Calculate the total lift of the balloon:

Lift = m_He + m_air - mass_skin_structure

Lift = 291.33 + 2,090.41 - 970

Lift = 1,411.74 kg

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