What should be the mass of water in a pool 5 m wide and 25 m long in order for the water pressure

What should be the mass of water in a pool 5 m wide and 25 m long in order for the water pressure on the bottom to be 20 kPa? Considering only the pressure created by the water.

Initial data: s (pool width) = 5 m; l (pool length) = 25 m; P (water pressure at the bottom of the pool) = 20 kPa = 20 * 10 ^ 3 Pa.

Reference values: ρw (water density) = 1000 kg / m3; g (acceleration due to gravity) = 10 m / s2.

1) The height of the water in the pool: P = ρw * g * h, whence h = P / (ρw * g) = 20 * 10 ^ 3 / (1000 * 10) = 2 m.

2) The volume of water in the pool: V = l * s * h = 25 * 5 * 2 = 250 m3.

3) The mass of water in the pool: m = ρw * V = 1000 * 250 = 250 t.

Answer: The mass of water in the pool is 250 tons.