Find the center of mass of the following solid, assuming constant density. Sketch the region and indicate the location of the centroid. Use symmetry when possible and choose a convenient coordinate system. The region bounded by the paraboloid z = x² + y² and the plane z = 100. Myz = S S S 0 02 Determine the triple integral to be used to most efficiently find Mxz, the solid's moment with respect to the xz-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 2 10 100 SS 002 Mxz = rcos 0 dz r dr de (Type exact answers.) Mxy= Determine the triple integral to be used to most efficiently find Mxy, the solid's moment with respect to the xy-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. rsin 0 dz r dr de (Type exact answers.) OA. 2 10 100 S S S z dz r dr de (Type exact answers.) 002 The center of mass, in Cartesian coordinates, is located at 0,0, Choose the correct graph below. 100 x1 10 centroid 10 200 3 (Type exact answers in simplified form.) O B. centroid 10 100 Fy &c. 10 xcentroid 100 10