Finding mass of black hole once given the density

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fifel85
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Homework Statement


Calculate the mass and radius of a black hole with density 750 kg/m^3.

Homework Equations


The Attempt at a Solution


In a previous question, I already used the Schwarzschild radius to come up with a formula for the density of a black hole:
D = (mass/(4/3pi((2Gmass/c^2)^3). I realize that this should be enough to solve for mass, but I am having difficulty with the algebra...How do I solve for mass when one of the "mass" variables is stuck inside the Scharzchild radius in a complicated fraction?
 
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Apply the ^3 to everything inside the brackets to which it is attached.