(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The density of a sphere of radius R as a function of distance from the centre r is ρ(r) = ρ_{0}(1 − r/R)

What is the mass of the sphere in terms of ρ_{0}and R?

2. Relevant equations

Volume of a Sphere=(4/3)piR^{3}

3. The attempt at a solution

I'm somewhat confused by the question. To my understanding, I can determine the mass of the sphere by integrating from 0 to radius R. I would consider a spherical shell a distance r from the center and of thickness dr. Thus I integrate from 0 to R and get something like 4pir^{2}(1-r/R)ρ(r)dr, which is the mass of the sphere. But I'm not sure if that's what is needed. Any ideas?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Density of a Sphere

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