Figure 8-4f shows the solid formed by rotating about the y-axis the region in Quadrant I
Chapter 8, Problem 1(choose chapter or problem)
Figure 8-4f shows the solid formed by rotating about the y-axis the region in Quadrant I under the graph of y = 4 x2. Figure 8-4f a. Find the volume dV of a cylindrical shell. Transform dV so that it is in terms of one variable. b. Find the exact volume of the solid by using the fundamental theorem. c. Find the volume again by plane slicing. Use planes perpendicular to the y-axis to form slabs of thickness dy. Show that you get the same answer as in part b.
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