State Pascal's law.

State Pascal's law for pressure transmission and explain its significance.

$A$ hydraulic automobile lift is designed to lift cars with a maximum mass of $3000 \, kg$. The area of cross-section of the piston carrying the load is $425 \, cm^{2}$. What is the maximum pressure the smaller piston would have to bear?

Two syringes of different cross-sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are $1.0 \; cm$ and $3.0 \; cm$ respectively.
$(a)$ Find the force exerted on the larger piston when a force of $10 \; N$ is applied to the smaller piston.
$(b)$ If the smaller piston is pushed in through $6.0 \; cm$,how much does the larger piston move out?

$A$ piston of cross-sectional area $2.5 \times 10^{-2} \text{ m}^2$ is used in a hydraulic lift to exert a force of $250 \text{ N}$ on water. The cross-sectional area of the other piston which supports a car of mass $3000 \text{ kg}$ is $(g = 9.8 \text{ m/s}^2)$ (in $\text{ m}^2$)

Why does the bottom of a bottle filled with liquid break when the cork is hit?