Let S be the solid obtained by rotating the region shown in the figure below about the yaxis. The Xy-coordinate plane is given. There is a curve and a shaded region on the graph. The curve y = 7x(X 2)2 starts at the origin, goes up and right becoming less steep, changes direction at the approximate point (0.67, 8.3), goes down and right becoming more steep, passes through the approximate point (1.33, 4.15), goes down and right becoming less steep, and ends at X = 2 on the positive X-axis. The shaded region is above the Xaxis and below the curve from X = O to X = 2. Explain why it is difficult to use the washer method to find the volume Vof 5. Sketch the solid. What are the circumference cand height h of a typical cylindrical shell? C(X)= h(X)= Use the method of cylindrical shells to find the volume Vof S