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## Homework Statement

Assuming the Earth to be comprised of only a uniform density mantle and a uniform density

core and the mean density of the mantle to be 4700 kg=m3, determine the mean density of

the Earth's core. Take Earth's radius to be 6400 km and the radius of the core to be 3500 km.

Assume the Earth's mean density is 5520 kg=m3

## Homework Equations

density = mass/volume

## The Attempt at a Solution

V_c = 1.80 * 10^20 meter cubed

V_e = 1.10 * 10^21 meter cubed

V_m = V_e - V_c

= 9.20 * 10^20

M_e = M_c + M_m

M_e = D_c*V_c + D_m*V_m

D_c = (M_e - D_m*V_m)/V_c

D_c = 9222.22

I think I got the wrong answer so can someone help me with it.