An Enclosed Mass Profile problem

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The discussion centers on deriving the enclosed mass profile M(r) for a star based on its density function. The density is defined as rho(r) = (rho_c)[1-(r/R*)^2], where rho_c is the central density and R* is the star's radius. The user successfully integrated the density to obtain M(r) = 4(pi)(rho_c)[r^3/3 - r^5/(5R*^2)]. However, they expressed uncertainty about relating this result to the total mass M* of the star and sought clarification on the definition of central density. Ultimately, the user resolved their question independently.
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Homework Statement



Find the enclosed mass profile M(r) in terms of R* and the total mass M* of the star.

Homework Equations



dMr/dr = 4(pi)r2(density)

density is given as: rho(r) = (rho_c)[1-(r/R*)2]
Where rho_c is the central density and R* is the radius of the star.

3. Attempt at a solution

I plugged the given density into the enclosed mass formula, took the integral in terms of r, and ended up with the result:

M(r) = 4(pi)(rho_c)[r3/3 - r5/(5R*2)]

My problem is, I'm not sure how to put this in terms of Mstar. What I think is I have to take the central density and the expression for volume [4/3 * (pi) * r3] and get Mstar. I guess my real question is this: what is the definition of central density?
 
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bump! Hope this question doesn't get lost!
 
Nevermind, I found the answer! Thanks anyways guys!
 
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