# Calculate the lift of a 200 m3 ball filled with hydrogen (excluding the weight of its envelope).

August 17, 2021 | education

| Initial data: V (volume of the considered sphere) = 200 m3; the weight of the ball shell is not taken into account.

Reference data: ρ1 (air density, 20 ºС) = 1.204 kg / m3; ρ2 (hydrogen density) = 0.0898 kg / m3; g (acceleration due to gravity) = 9.81 m / s2.

The lifting force of the ball can be calculated using the formula: Fa = (ρ1 – ρ2) * g * V.

Let’s calculate: Fa = (1.204 – 0.0898) * 9.81 * 200 = 2186 N.

Answer: The lifting force of the ball is 2186 N.

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