Hydraulic systems utilize pascal's principle by transmitting pressure from one cylinder (called the primary) to another (called the secondary). since the pressures will be equal, if the surface areas are different then the forces applied to the cylinders' pistons will be different. suppose in a hydraulic lift, the piston of the primary cylinder has a 2.05-cm diameter and the piston of the secondary cylinder has a 21.5-cm diameter.

Pascal's law

According to the Pascal's law ,pressure will be same in the all direction for a static and in-compressible fluid.In-compressible fluid means the density of the fluid is constant through out the volume.

Lets take cylinder 1  and cylinder 2

W= Applied load on the cylinder 1

We know that pressure = Load/Area

A₁=Cross sectional area of first cylinder

P₁=W/A₁

Given that fluid is In-compressible then pressure will be same and the same pressure will transfer to the second cylinder.

P₂=W₂/A₂=P₁

W₂=P₁ A₂

Given that

d₁=2.05 cm

d₂= 21.5 cm

W₂=P₁ A₂=A₂ W/A₁

W₂d₁²=W d₂²

W₂ x 21.5₁²=W x 2.05₂²

W₂=0.0090 W