Consider a solid sphere, determined by the volume x^2 + y^2 + z^2 ≤ R^2 , with a non uniform density ρ(x, y, z) = A|z|. What are the units of A? Determine the total mass of the sphere in terms of A and R.

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Consider a solid sphere, determined by the volume x^2 + y^2 + z^2 ≤ R^2 , with a non uniform density ρ(x, y, z) = A|z|. What are the units of A? Determine the total mass of the sphere in terms of A and R.      

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