# Water was poured into a cylindrical vessel to a height of 40 cm. To what height should kerosene

Water was poured into a cylindrical vessel to a height of 40 cm. To what height should kerosene be poured into another vessel of the same size so that the pressure on the bottom would be the same as in the first vessel? The density of water is 1 g / cm3, kerosene is 0.8 g / cm3.

The hydrostatic pressure of the liquid column is determined by the formula:
p = ρ * g * h,
where
ρ is the density of the liquid,
g – acceleration of gravity,
h is the height of the liquid column.
Given:
p1 = p2, h1 = 0.4m, ρ1 = 1g / cm ^ 3 = 1000kg / m ^ 3, ρ2 = 0.8g / cm ^ 3 = 800kg / m ^ 3
Find h2.
ρ1 * g * h1 = ρ2 * g * h2
h2 = ρ1 * h1 / ρ2 = 1000 * 0.4m / 800 = 0.5m.

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