Use cylindrical coordinates. Evaluate SSSE 1024π 256 3 5 × (x + y + z) dv, where E is the solid in the first octant that lies under the paraboloid z = 16 - x² - y².

Find a parametrization for the cylinder x2 + y2 = 1.

Let E be the solid region in the first octant bounded by the coordinate planes, the cylinder x2+y2=5y and the sphere x2+y2+z2=25. Write an interated intergral used to solve ∫∫∫Ey dV using:  A. Cartesian coordinates B. Cylindrical coordinates without evaluating.