$$P = ρgh$$
where:
- P is pressure in pascals (Pa)
- ρ is the density of the rock in kilograms per cubic meter (kg/m³)
- g is the acceleration due to gravity (approximately 9.8 m/s²)
- h is the depth in meters (m)
Assuming an average density of 3300 kg/m³ for the Earth's crust and mantle, and a depth of 3500 km, we can calculate the pressure as follows:
$$P = (3300 kg/m³)(9.8 m/s²)(3500000 m)$$
$$P = 1.13 × 10¹² Pa$$
Therefore, the inferred pressure at a depth of 3500 km below the surface is approximately 1.13 × 10¹² pascals.
