1 Consider the solid bounded by the cone 2 : J? "x2 + y2 and plane 2 = 11 Within the first octant if the density at any pomt inside the solid is T27 times the distance from the origin. Assume density is measured in kg/m3. (a) Draw a graph of the given solid and include it with your written work. (b) Set up and evaluate a triple integral using spherical coordinates to determine the mass of t e solid. Evaiuate the entire integral by hand, showing all your work and giving an exact answer. m: dp dwds: kg (c) Determine the center of rnass of the solid in rectangular coordinates. You may use technology to completely evaluate any integrals. Round your answers to 4 decimaiplaces. (;.;,21=( , , )m