The pressure created by the water at the bottom of the lake is 4 MPa. The density of water is 1000 kg / m³.

The pressure created by the water at the bottom of the lake is 4 MPa. The density of water is 1000 kg / m³. Apart from atmospheric pressure, what is the depth of the lake?

The hydrostatic pressure of water at the bottom of the lake can be calculated using the formula:
P = ρ * g * h, where P is the hydrostatic pressure (P = 4 MPa = 4 * 10 ^ 6 Pa), ρ is the water density in the lake (ρ = 1000 kg / m ^ 3), g is the acceleration of gravity ( we take g = 9.8 m / s ^ 2), h is the depth of the lake (m).
Let’s express and calculate the depth of the lake:
h = P / (ρ * g) = (4 * 10 ^ 6) / (1000 * 9.8) ≈ 408 m.
Answer: The depth of the lake is 408 m.