# A cylindrical body floats in a liquid as shown in the figure (the volume of the above-water part refers to the volume

June 30, 2021 | education

| **A cylindrical body floats in a liquid as shown in the figure (the volume of the above-water part refers to the volume of the underwater one as 1: 3). Determine the density of the liquid if the density of the floating body is 600 kg / m3.**

The mass of the body can be calculated by the formula: m = ρ0 * v where ρ0 is the density of the body, v is the volume.

There are two forces acting on the body. Gravity equal to:

F = mg = ρ0vg

and the strength of Archimedes:

Fa = ρgv / 3 where ρ is the density of the liquid.

From the condition of bodies floating, these forces are equal.

ρ0vg = ρgv / 3

ρ0 = ρ / 3

ρ = ρ0 * 3 = 600 * 3 = 1800 kg / m ^ 2.

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