stion: 1 point(s) possible Subm 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 = x + y and the plane z = 4. 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= | | | dz r dr de (Type exact answers.) 000 Determine the triple integral to be used to most efficiently find Myz, the solid's moment with respect to the yz-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. Myz = J J J dzr 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 xz-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 000 Myz = S J dzr 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. 0OO Myy = J J J dzr dr de (Type Texact answers.) 0OO The center of mass, in Cartesian coordinates, is located at ( ). (Type exact answers in simplified form.) Choose the correct graph below