Figure shows, not to scale, a cross section through the interior of Earth. Rather than being uniform throughout, Earth is divided into three zones: an outer crust, a mantle, and an inner core. The dimensions of these zones and the masses contained within them are shown on the figure. Earth has a total mass of 5.98 x 1024 kg and a radius of 6370 km. Ignore rotation and assume thatEarth is spherical.(a) Calculate ar at the surface.(b) Suppose that a bore hole (the Mohole) is driven to the crust-mantle interface at a depth of 25.0 km; what would be the value of ar at the bottom of the hole?(c) Suppose that Earth were a uniform sphere with the same total mass and size. What would be the value of a, at a depth of 25.0 km? (Precise measurements of a, are sensitive probes of the interior structure of Earth, although results can be clouded by local variations in massdistribution.)

6345 km 25 km -Core, 1.93 x 1024 kg - Mantle, 4.01 x 1024 kg -Crust, 3.94 x 10 kg 3490 km