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The region bounded by y = 5 and y : a: + is rotated about the line a: = 1. Find the volume of the resulting solid a: by any method. Volume :8 A Solid of Revolution. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. 3; = 93:12, a: = 1, 'y = 0, about the xaxis C] The volume of the solid obtained by rotating the region enclosed by y=$2, $=y2 about the line a; = #3 can be computed using the method of disks or washers via an integral 1; V = f [j ? c a. with limits of integration a = C] and b = C]. The volume is V = [3 cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct. Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napkin rings have the same height h, as shown in the figure. it turns out that each ring will have exactly the same amount of wood as the other! Use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius 1- through the center of a sphere of radius R (with R > 1'). Express your final answer only in terms of h. Volume 2 [j