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Please follow and explain all steps in detail from YOUR OWN WORK for good feedback. For each volume problem, draw the ooordinate plane and a

Please follow and explain all steps in detail from YOUR OWN WORK for good feedback.

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For each volume problem, draw the ooordinate plane and a picture of the solid. Also draw a thin crosssection or a cylindrical shell. Then show a sequence of logical steps involving an integral to compute the volume. 1. Show that the volume ofa oone with base radius r is V = inrzh. 2. Let I} represent the region bounded by the curves 3; = x2 and Jr = 1?. Compute the volumes of the following solids. a] The solid formed when H is revolved about the xaxis. b] The solid formed when H is revolved about the yaxis. 3. Using the same region B as in exercise 2.. compute the volumes of the following solids. a] The solid formed when H is revolved about the line 3; = 3. b] The solid formed when H is revolved about the line 17 = 5

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