1. The problem statement, all variables and given/known data Find the volume bounded between the sphere of radius a centered at (0,0,0) and the cone z=sqrt(x2 +y2). 3. The attempt at a solution So, subbing our definition for z into the the equation for a sphere of radius a centered at (0,0,0): 2x2 + 2y2 = a2. Converting to cylindrical coordinates, 2r2 = a2 r = a/sqrt(2). I use the bounds, 0≤z≤a 0≤θ≤2*pi 0≤r≤a/sqrt(2) I use 1*r as my integrand to find volume and I get a3*pi/2. Am I doing this right?