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

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