The motion of a solid object can be analyzed by thinking of the mass as concentrated at a single point, the center of mass. If the object has density p(x,y,z) at the point (x,y,z) and occupies a region W, then the coordinates (x, y, z) of the center of mass are given by, x = 1 m JW x pdV, y = 1m [Wy pdv, z = 1m JW z pdV, Assume x, y, z are in cm. Let C be a solid cone with both height and radius 5 and contained between the surfaces z = x^2 + y^2 and z=5. If C has constant mass density of 3 g/cm3, find the z- coordinate of C's center of mass.