A hot-air balloon has a volume of 440 * 10^3 ^3. Calculate the buoyant force that the surrounding cold air exerts on the balloon? Given that the density of the surrounding air is 2.58 kg/^3.

Given that,

The volume of the balloon is

V = 440 * 10³ m³

Buoyant force F?

Given the density of the surrounding to be 2.58 kg/m³

ρ = 2.58 kg/m³

The buoyant force is the weight of water displaced and it is calculated using

F_b = ρVg

Where

F_b is buoyant force

ρ is density

V is the volume of the liquid displace.

g is the acceleration due to gravity

Then,

F_b = ρVg

F_b = 2.58 * 440 * 10³ * 9.81

F_b = 1.1 * 10^7 N