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## Homework Statement

Calculate the radius of the Earth's core using the following data:

Pe = 5,515 kg/m^3 (earth's average density)

Pc = 11,000 kg/m^3 (core's density)

Pm = 4,450 kg/m^3 (mantle-crust density)

Re = 6377km (radius of the earth)

## Homework Equations

im guessing we should be using the gravitational equation

g = (GM)/r^2 for different shells (might be wrong)

g= gravitational acceleration

G= Gravitational constant

M = mass of sphere with radius of "r"

r= radius

## The Attempt at a Solution

i tried the above equation but got no where with this. i need help!!!