Determine whether a 10 cm3 aluminum body will float or sink in kerosene.

Data: V (volume of the taken aluminum body) = 10 cm3 (10 * 10-6 m3).

Constants: ρк (kerosene density) = 800 kg / m3; ρа (density of aluminum) = 2700 kg / m3; g (acceleration due to gravity) ≈ 10 m / s2.

1 formulation of the swimming condition: Ft (gravity) <Fa (Archimedes force).

2 formulation of the swimming conditions: ρа (density of aluminum) <ρк (density of kerosene).

Both formulations will boil down to one thing:

m * g <ρк * g * V.

ρа * V * g <ρк * g * V.

ρа (2700 kg / m3) <ρк (800 kg / m3) – incorrect, the body will drown.