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 + yz and the plane z = 25. -OD Determine the triple integral to be used to most efficiently find the mass of the solid. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 0OO m= ] J J dz r dr de (Type exact answers.) 000 Determine the triple integral to be used to most efficiently find My2, the solid's moment with respect to the yz-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 000 Myz = J J J dz r dr de (Type exact answers.) 000 Determine the triple integral to be used to most efficiently find M2, the solid's moment with respect to the xz-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 000 Myz = J J J dz r dr de (Type exact answers.) 000 Determine the triple integral to be used to most efficiently find My, the solid's moment with respect to the xy-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 000 My = J J J dz r dr de (Type exact answers.) 000 The center of mass, in Cartesian coordinates, is located at (.| | |). (Type exact answers in simplified form.) Choose the correct graph below. O A. O B. O C. centroid 1 25 centroid el centroid