Two cylinders with a horizontal and a vertical axis respectively rest on a horizontal surface. T...

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Two cylinders with a horizontal and a vertical axis respectively rest on a horizontal surface. The cylinders are connected at the lower parts through a thin tube.

The "horizontal" cylinder of radius \( r \) is open at one end and has a piston in it
Fig. 53
(Fig. 53). The "vertical" cylinder is open at the top. The cylinders contain water which completely fills the part of the horizontal cylinder behind the piston and is at a certain level in the vertical cylinder.
Determine the level \( h \) of water in the vertical cylinder at which the piston is in equilibrium, neglecting friction.
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