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 + y and the plane z = 49. . . . 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. m= dz r dr de (Type exact answers.) 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 S SC dz r dr de (Type exact answers.) Determine the triple integral to be used to most efficiently find Myz, the solid's moment with respect to the xz-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 100