The movable cylindrical pistons $P_1$ and $P_2$ of a hydraulic lift are of radii $2 \,m$ and $R$ respectively. $A$ body of mass $32 \,kg$ on piston $P_2$ is supported by a body of mass $2 \,kg$ placed on piston $P_1$. The value of $R$ is (in $\,m$)

$A$ hydraulic lift is shown in the figure. The radii of the movable pistons $P_1$ and $P_2$ are $2 \,m$ and $8 \,m$ respectively. If a body of mass $2 \,kg$ is placed on piston $P_1$, then the force on piston $P_2$ is (Ignore atmospheric pressure, acceleration due to gravity $= 10 \,ms^{-2}$) (in $\,N$)

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

Given below are two statements:
Statement $I :$ Pressure in a reservoir of water is same at all points at the same level of water.
Statement $II :$ The pressure applied to enclosed water is transmitted in all directions equally.
In the light of the above statements,choose the correct answer from the options given below:

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

$A$ 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 $kg$)?