7. A region bounded by y = -x² + 4, y = 4 and x = 2 is revolved around the y-axis. Use cylindrical shells to find the volume of the solid generated.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 33E: A solid is formed by cutting a conical section away from a right circular cylinder. If the radius...
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7. A region bounded by y = −x² + 4, y = 4 and x = 2 is revolved around the y-axis. Use cylindrical
shells to find the volume of the solid generated.
Transcribed Image Text:7. A region bounded by y = −x² + 4, y = 4 and x = 2 is revolved around the y-axis. Use cylindrical shells to find the volume of the solid generated.
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