The hydraulic press cylinder is filled with oil of density \( 800 \frac{kg}{m^3} \). The diameter of the pump piston is d=0,06m, the diameter of the press cylinder is D=0,6m, and the difference in levels is h=0,6m. What force P must be exerted on the end of the lever to exert a force Q=4200N on the press piston? The lengths of the lever arms are: a=1m, b=1,2m.

1) Determine the difference in manometer readings \( \Delta h \)
2) How much will the manometer reading change if the level of gasoline in the tank decreases by d=2m
Data: \( a=5m, b=4m, \rho_b = 7000 kg/m^3, \rho_w = 1000 kg/m^3, \rho_{Hg} = 13600 kg/m^3 \)

An closed tank filled with water and gas is connected to a mercury manometer and a piezometer. Calculate the gas pressure \( p_n \) in the tank and the height h to which the water has risen in the piezometer if the manometer indicates a mercury level difference b. The data is as follows: \begin{aligned} &a=2m\\ &b=0.2m\\ &\rho_{Hg}=13600 kg/m^3\\ &\rho_{w}=1000 kg/m^3\\ \end{aligned}