Weight = (Air Density)*Volume*g
Volume = (base area) x Height
The density of air that they told you to use is wrong. Are you sure you copied it correctly? It should be about 1.29 kg/m^3
I have my doubts about the quality of the physics education you are getting. They gave you a density of air with three significant figures that is 68% high and tell you to use a value of g that is 2% high.
An rectangular above-ground swimming pool is 9 m long and 4 m wide. The pool wall has a constant height of 3 m above the ground. Take atmospheric pressure to be 1 atm = 10^5 Pa and g = 10 m/s2.
(a) Calculate the weight of the air that fills the pool when the pool is empty. (Take the density of air to be 2.17 kg/m3.)
2 answers
The variables are supposed to be wrong so that you cannot take the problem and easily copy and paste them into the internet