3) Set up integrals (using the given coordinate system) to nd each of the following. Then evaluate the integrals. a) The total mass inside the conical regionz = x2 + 372, 0 E z S 6 if 1 2 gm / cmg. (cylindrical the density is given by (5' (x, y, z) = m coordinates) b) The area inside the inner loop of r : 23in9 - l. (polar coordinates) c) The volume of the region bounded by the hemispheres x2 + y2 + z2 = 16, z = 0 and x2 + y2 + z2 = 25, z = 0 and the xy-plane. (spherical coordinates) d) Find the average value of f(x, y, z) = x + y over the region bounded by x = 0, y=0, z = 0, and x + y + z=9. (rectangular coordinates)