The volume of the balloon filled with helium is 50 m3. The density of helium is 0.18 kg / m3

The volume of the balloon filled with helium is 50 m3. The density of helium is 0.18 kg / m3. The air density is 1.29 kg / m3. Determine the maximum weight of the load that this balloon can lift. disregard the mass of the ball

Given:
V = 50m ^ 3,
ρ1 = 0.18kg / m ^ 3,
ρ2 = 1.29kg / m ^ 3,
g is the acceleration of gravity;
Find: m -?;
The maximum weight that a balloon can lift is equal to the difference between the Archimedes force, which acts on the balloon, and the weight of the balloon’s helium.
Helium weight:
P = ρ1 * V * g;
Archimedes’ strength:
F = ρ2 * V * g;
Maximum cargo weight:
m = (F – P) / g = V * (ρ2 – ρ1);
m = 50m ^ 3 * (1.29kg / m ^ 3 – 0.18kg / m ^ 3) = 55.5kg.