9. Consider W - the solid region above the cone z = Vx2 + y and below the plane z = 3. Suppose this region has a uniform density given by (x, y, z) = 1. We want to find the center of mass (which is equivalent to the centroid in this case) of this object. We can argue by symmetry that the center of mass lies on the z-axis (you do not need to actually do this, but hopefully this is clear...) Hint: Throughout this problem, you may find it useful to know that the volume of a cone of radius R and height H is V = (1/3) TR2 H. (a) (1 credit ) Set up, but do not evaluate (yet), an integral in cylindrical coordinates to find z - the z-coordinate of the center of mass