A U-tube contains two liquids, X and Y, with densities hoX = 1000 ext kg/m3 and hoY = 800 ext kg/m3. Liquid Y has a height of 20 cm. If the pressures at the same horizontal level in the U-tube are equ

Density of liquid X, $\rho_X = 1000 \text{ kg/m}^3$
Density of liquid Y, $\rho_Y = 800 \text{ kg/m}^3$
Height of liquid Y, $H_Y = 20 \text{ cm} = 0.20 \text{ m}$
Height of liquid X, $H_X = h$

The pressure exerted by a liquid column is given by $P = \rho g H$. At the interface level, the pressure from both columns must be equal.

Cancel $g$ from both sides:

Substitute the known values:

Convert the height to centimeters:

The height $h$ is $\boxed{\text{16 cm}}$.