Determine the height of the water level in the water tower if the pressure gauge installed

Determine the height of the water level in the water tower if the pressure gauge installed at its base shows a pressure of 220 kPa.

Given:

P = 220 kPa – water pressure at the base of the water tower;

g = 9.8 Newton / kilogram – acceleration of gravity (constant value near the earth’s surface);

ro = 1000 kilograms per cubic meter – the density of water.

It is required to determine h (meter) – the height of the water level in the water tower.

Convert pressure units from kPa to Pascals:

P = 220 kPa = 220 * 1000 = 220,000 Pascal.

Then, to determine the water level, you must use the following formula:

h = P / (g * ro) = 220,000 / (1000 * 9.8) = 220,000 / 9800 = 22.4 meters (the result has been rounded to one decimal place).

Answer: the water level is 22.4 meters.