The price for gaining this multiplication of force is that the piston on the left must be moved through a greater distance than the object on the right will be raised. To find the distance d1 t...The price for gaining this multiplication of force is that the piston on the left must be moved through a greater distance than the object on the right will be raised. To find the distance d1 through which the piston on the left must be moved in order to lift the object on the right a distance d2, we note that the liquid is essentially incompressible; therefore the volume change on the left must equal the volume change on the right: