The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved about the x-axis. Find the volume of the solid generated. Take the elements of area parallel to the axis of revolution.

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 25E
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can you please help me to solve this? and use cylindrical shells method, and put strip on your graph so that I can understand better. Thank you!
The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved
about the x-axis. Find the volume of the solid generated. Take the elements of area
parallel to the axis of revolution.
Transcribed Image Text:The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved about the x-axis. Find the volume of the solid generated. Take the elements of area parallel to the axis of revolution.
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