I am studying for a calculus exam and am having trouble setting up this equation.
Let E be the solid sphere $x^2 + y^2 + z^2 \leq 1$ with a constant density. Find it's moment of inertia $I_z$ about the $z$-axis.
I am not looking for exact answers to the problem as much as just how to set up the problem for reference and studying. From what I know this should end up being an integral(s), but I am not sure of the start or end points for it. Thanks in advanced.