Determine the largest mass of cargo the balloon can lift. Express your answer to two significant figures and include the appropriate units.?

A spherical balloon has a radius of 6.95

Answer 1

The weight of the air displaced = m*g = Density*Volume*g
m*g = D*V*g = 1.29*4*π*6.95³/3 *9.81 = 17,795N
The weight of the helium =
m*g = D*V*g = 0.179*4*π*6.95³/3 *9.81 = 2,469N
2,469 + 9.81*920 = 11,495
[17,795-11,495]/9.81 = 642kg

Answer 2

The volume of the balloon is
Sphere V = ⁴/₃πr³ = ⁴/₃π7³ = 1437 m³
(I’ll round, you can correct)

buoyancy is diff between weight of air and of helium
1.29 kg/m³ – 0.179 kg/m³ = 1.11 kg/m³
1.11 kg/m³ x 1437 m³ = 1595 kg
1595–920 = 675 kg

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