The pressure gauge installed on the bathyscaphe shows that the water pressure is 9.8 MPa.

The pressure gauge installed on the bathyscaphe shows that the water pressure is 9.8 MPa. Determine the depth of the bathyscaphe dive.

The hydrostatic pressure of water on the bathyscaphe can be calculated using the formula:
P = ρ * g * h, where P is the hydrostatic pressure (P = 9.8 MPa = 9.8 * 10 ^ 6 Pa), ρ is the density of salt water (from the table of densities of liquids ρ = 1030 kg / m ^ 3) , g is the acceleration of gravity (we take g = 9.8 m / s ^ 2), h is the immersion depth of the bathyscaphe (m).
Let us express and calculate the immersion depth of the bathyscaphe:
h = P / (ρ * g) = (9.8 * 10 ^ 6) / (1030 * 9.8) ≈ 971 m.
Answer: The submersion depth of the bathyscaphe is 971 m.