Show all solutions, evaluate integrals too. I need answer.

1. Find the center of mass of the upper half of the sphere of radius a with center at the origin and (x, y, z) = 1.

2. Find the moment of inertia with respect to y-axis of a triangular lamina with vertices (0,0), (1,0), and (0,2) of the density function is (x, y) = 1 + 3x + y.