A 1cm layer of a mystery liquid is on top of a 3m deep pool

A 1cm layer of a mystery liquid is on top of a 3m deep pool of water. The pressure at the bottom of the pool is 130808.5 Pa. The density of water is 1000kg/m3. Show me how you find the density of the mystery liquid. What is the density of the mystery liquid? You must show your work. This problem is your opportunity to show me the physics concepts you know, take advantage of it, an include units.

Solution

Here ,

let the density of liquid is p

pw = 1000 Kg/m^3

Pb = 130808.5 Pa

pressure at the bottom

P = Po + pw * g * 3 + p * g * 0.01

130808.5 = 1.01 *10^5 + 1000 * 9.8 * 3 + p * 9.8 * 0.01

solving for p

p = 4168.4 Kg/m^3

the density of mysterious liquid is 4168.4 Kg/m^3