$A$ hydraulic automobile lift is designed to lift vehicles of mass $5000\,kg$. The area of cross-section of the cylinder carrying the load is $250\,cm^2$. The maximum pressure the smaller piston would have to bear is [Assume $g = 10\,m/s^2$].

$A$ 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 $kg$)?

$A$ tall tank filled with water has an irregular shape as shown. The wall $CD$ makes an angle of $45^{\circ}$ with the horizontal,the wall $AB$ is normal to the base $BC$. The lengths $AB$ and $CD$ are much smaller than the height $h$ of water (figure not to scale). Let $p_1, p_2$ and $p_3$ be the pressures exerted by the water on the wall $AB$,base $BC$ and the wall $CD$ respectively. Density of water is $\rho$ and $g$ is acceleration due to gravity. Then,approximately

$A$ hydraulic press containing water has two arms with diameters as shown in the figure. $A$ force of $10 \,N$ is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is . . . . . . $N$.

$A$ hydraulic lift is shown in the figure. The radii of the movable pistons $P_1$ and $P_2$ are $2 \ m$ and $5 \ m$ respectively. If a block of mass $x$ is placed on $P_2$,then the minimum mass that should be kept on $P_1$ to lift the block on $P_2$ is (in $x$)

Which law states that the effect of pressure is the same for all portions of a confined fluid?