How many meters of sunflower oil should be poured into a cylindrical vessel with a bottom area of 100 m²

How many meters of sunflower oil should be poured into a cylindrical vessel with a bottom area of 100 m² in order to create a pressure of 1.6 kPa on the bottom of the vessel?

To find the volume of oil poured into a cylindrical vessel, we use the formula: P = ρm * g * h = ρm * g * V / S, whence we express: V = P * S / (ρm * g).

Constants and variables: P – created pressure (P = 1.6 kPa = 1.6 * 10 ^ 3 Pa); S is the area of the bottom of the vessel (S = 100 m2); ρm is the density of sunflower oil (ρm = 930 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2).

Let’s calculate: V = P * S / (ρm * g) = 1.6 * 10 ^ 3 * 100 / (930 * 10) = 17.2 m3.

Answer: You need to pour 17.2 m3 of sunflower oil.