1. The problem statement, all variables and given/known data a sphere of radius R, with centre at r=0, has a density of rho(r)=rho(0)(1-r/R), using sphericals. a. what is the mass of the sphere? b. write down the intergral for the moment of inertia, about the z axis. c. Solve it. 2. Relevant equations I=[tex]\int[/tex][tex]\int[/tex][tex]\int[/tex]rho(r)*r^2 dV 3. The attempt at a solution a. M=rho*V=rho(0)(1-r/R)*4*pi*r^3/3 i need help on, i am getting somehting like.. triple intergral form 0-2pi,0-pi,0-R of (rho(0)(1-r/R)*r^3*sin(theta) dr dtheta dphi ca anyone help me? by makign sure my intergal is right, or fixing it, ive only ever done uniform density before, so im a bit confused about this.