If a tank contains 12.0 m³ of glycerine (ρ = 1260 kg/m³), what volume of mercury (ρ = 13500 kg/m³) has the same mass as glycerine in the tank?

Oil (of density 850 kg/m³) circulates through a horizontal hose system inside an olive oil filling machine. First, the oil flows at a speed of 8.0 m/s through a hose with a radius of 1.0 cm. An oil manometer indicates a pressure of 7.0 × 10⁴ Pa. A horizontal hose elbow connects the 1.0-cm-radius hose to a smaller hose with a radius of 0.75 cm. Calculate the pressure inside the smaller hose.

Consider a manometer formed with a U-shaped tube containing liquid of density 13.6 g/cm³ and connected to a frustum by the upper ends of the tube, as shown in the figure. Air flows inside the frustum at a rate of 900 cm³/s. Air is assumed to be an ideal fluid. Determine the difference in height between the two vertical columns of the manometer.

Jupiter is the largest known planet in the solar system. Its atmospheric pressure is 9.87 atm and gravitational acceleration is 2.63g. A sealed circular container containing soda (mainly water) and compressed air at a pressure of 9.87 atm above the soda is taken to Jupiter for an experimental study. The soda column is 25.40 m high and the container has a diameter of 1.60 m. Determine the force experienced at the bottom of the container due to Jupiter's atmosphere. Ignore the effects of temperature.

The vessel below is filled with fresh water (density = 1000 kg/m³). One of its arms is open to the atmosphere. Calculate the pressure at point N.

The expression P = F/A means that we can formulate an indirect way of measuring pressure in a vehicle's tires. A truck owner's manual states that a truck has a mass of 4300 kg and a transporter has placed a 3800 kg load on the truck. The loaded truck has 6 tires that bear 1/6 of the truck's mass and have equal air pressure. A weighbridge measures the flattened section of a tire that is in contact with the ground to be 27.9 cm by 9.2 cm. Determine the pressure of air in the tires.

A mechanic standing on a hydraulic lift supports three 120 kg motorcycles at a height of 1.2 m above the mechanic's piston. The hydraulic lift is filled with oil, and the mechanic's piston has a radius of 6 cm. Calculate the radius of the piston lifting the motorcycles if the mechanic's mass is 72 kg. Assume that oil has a density of 900 kg/m³.

A lab technician applies a force of 4.2 N on a pipette plunger with a diameter of 1.6 cm while dispensing a solution through a nozzle with a diameter of 0.30 mm into a container where the gauge pressure is approximately 85 mm-Hg. What would be the required amount of force just before the solution starts flowing?