An automated space probe is submerged in a liquid methane lake on Saturn's moon, Titan. A pressure sensor on the probe is located at a depth, hhh, below the liquid surface.
The density of the liquid methane is 450 kg/m3 and the gravitational field strength, ggg, on Titan is 1.35 N/kg.
The pressure due to the liquid column at the sensor is 15.795 kPa (15,795 Pa15,795\text{ Pa}15,795 Pa).
Calculate the depth, hhh, of the pressure sensor on the probe.
Use the equation:
pressure=depth×density×gravitational field strength \text{pressure} = \text{depth} \times \text{density} \times \text{gravitational field strength} pressure=depth×density×gravitational field strength