Find the center of mass and the moment of inertia about the y-axis of a thin shell of constant density delta cut from the cone x²-y²+z²=0 by the planes y=2 and y=5. The center of mass is located at:
a) (√{3}/2, 3, 0)
b) (0, 0, 5/3)
c) (0, 5/2, 0)
d) None of the above