Water and kerosene with a total height of h = 32 cm are poured into a cylindrical vessel. At what height h1, from the bottom

Water and kerosene with a total height of h = 32 cm are poured into a cylindrical vessel. At what height h1, from the bottom is the interface between liquids if the pressure on the bottom of the vessel is p = 3.0 KPa?

Immiscible liquids are poured into a cylindrical vessel: water and kerosene, having different densities. Then in the lower part of the cylinder there will be a column of water with a height of h₁ = x m. The column of kerosene will have a height of h₂ = 0.32 – x (m) above the liquid interface, since the total height of the poured liquids is h = 32 cm = 0.32 m.
Water and kerosene together will exert pressure p = p₁ + p₂ on the bottom of the vessel, where water pressure p₁ = ρ₁ · g · h₁ and kerosene pressure p₂ = ρ₂ · g · h₂, and the coefficient g = 9.8 N / kg. We get: р = g · (ρ₁ · h₁ + ρ₂ · h₂). From the condition of the problem it is known that the pressure at the bottom of the vessel is p = 3.0 KPa = 3000 Pa, and the values ​​of the densities of liquids are found in the reference tables: ρ₁ = 1000 kg / m³ and ρ₂ = 800 kg / m³. Knowing this, we compose the equation:
3000 = 9.8 * (1000 * x + 800 * (0.32 – x));
x = 0.25 m.
Answer: the interface between liquids from the bottom is located at a height of 0.25 m.