A team of archeaologist excavating the ancient settlement of Osmia has unearthed a previously unknown type of artifact. This can be modeled as the region E that lies inside the cylinder x^2+y^2=2, is bounded above by the plane
z=0, and is bounded below by the hyperboloid x^2+y^2−z^2=1. (a) Sketch E
(b) Find the volume of E
(c) Assuming that its density is constant equal to 22.59 g/cm^3, find the center of mass of E