How does a fluid exert force on each point of the surface of a vessel?

Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by

In a hydraulic lift,if the radius of the smaller piston is $5 \ cm$,and the radius of the larger piston is $50 \ cm$,then the weight that the larger piston can support when a force of $250 \ N$ is applied to the smaller piston is (in $kN$)

$A$ hydraulic lift as shown in the figure is used to lift a mass of $1000 \ kg$, which is placed on a piston $(P_1)$ of area $1 \ m^2$. If the cross-section area of the piston $(P_2)$ at the other end is $0.01 \ m^2$, then how much mass needs to be put on it to lift the $1000 \ kg$ (in $kg$)?

State and prove Pascal's law.

Air is blown through a hole on a closed pipe containing liquid. Then the pressure will