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2. The region bounded by the ellipse of equation ~2 + = 1; a > b > 0 is revolved about the y-axis. First set up without evaluating the integral expression to find the volume of the generated solid of revolution using the disc method and the shell method; then find the volume by evaluating one of the integrals. Disc Method Shell Method Volume = 3. Use integration to find the lateral surface area of a right circular cone of height 4 and radius 3. First indicate in words how the surface is generated, setup the integral then evaluate the integral