According to one model, the density of Earth varies with the distance r from the center of Earth as ρ = C[1.22 − (r/R)], where R is the radius of Earth and C is a constant. (a) Find C in terms of the total mass M and the radius R. (solved)C = 3M1.88πR3​   (b) According to this model, what is the moment of inertia of Earth about an axis through its center? (Use the following as necessary: M and R.) (unsolved)

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According to one model, the density of Earth varies with the distance r from the center of Earth as ρ = C[1.22 − (r/R)], where R is the radius of Earth and C is a constant.

(a) Find C in terms of the total mass M and the radius R. (solved)
C = 3M1.88πR3​
 
(b) According to this model, what is the moment of inertia of Earth about an axis through its center? (Use the following as necessary: M and R.) (unsolved)

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