Suppose a distant world with surface gravity of 4.48 m/s² has an atmospheric pressure of 8.12 10⁴ Pa at the surface.

a.

What force is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of a methane ocean?

b.

What is the weight of a 10.0-m deep cylindrical column of methane with radius 2.00 m? Note: The density of liquid methane is 415 kg/m³.

c.

Calculate the pressure at a depth of 10.0 m in the methane ocean.