Find the volume of the solid of revolution obtained by rotating the region bounded by y = 2x ^ 2 - x ^ 3 between y = 0 , x = 1 , and x = 2 about the y-axis. you must graph the region, sketch the solid of revolution, state the interval that is being sliced, and clearly show the representative cross-section obtained by however you slice .

interval of convergence? 3. (10 points) Find the volume of the solid of revolution obtained by rotating the region bounded by y = 2x2-23 between y = 0, r = 1, and r = 2 about the y-axis. To receive full credit for this problem, you must graph the region, sketch the solid of revolution, state the interval that is being sliced, and clearly show the representative cross-section obtained by however you slice