Question

A cylinder vase is 59 cm tall and has a diameter of 25 cm, the vase stands vertically and is half filled with pure water (ρ_water = 1.0 g/cm³). Find the gauge pressure (only due to the fluid) near the bottom of the vase. What is the force on the vase's bottom due to the water?

The gauge pressure at the bottom of the vase, P₁ =

The force on the bottom of the vase, F₁ =  

Now, some oil with ρ_oil = 0.75 g/cm³ is poured on top of the water so that the total level of two fluids together is h₂ = 47.8 cm (the fluids do not mix and do not get compressed). What is the gauge pressure and the force on the bottom of the vase in this case?

The gauge pressure near the bottom of the vase, P₂ =

The force on the bottom of the vase, F₂ =

Answer 1