The volume of the solid obtained by rotating the region bounded by y = x², and y = 2x about the line x = 2 can be computed using either the washer method or the method of cylindrical shells. Answer the following questions. Using the washer method, set up the integral. V = pi(y^2-y^(2/4)) dy a with a = and b = 4 Using the method of cylindrical shells, set up the integral. V = with c = and d = Choose either integral to find the volume. Volume = 8pi/3

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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The volume of the solid obtained by rotating the region bounded by y = x², and y = 2x about the line x =
:2 can be
computed using either the washer method or the method of cylindrical shells. Answer the following questions.
Using the washer method, set up the integral.
V:
pi(y^2-y^(2/4))
dy
with a =
and b =
4
Using the method of cylindrical shells, set up the integral.
V
?
with c =
and d =
2
Choose either integral to find the volume.
Volume = 8pi/3
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by y = x², and y = 2x about the line x = :2 can be computed using either the washer method or the method of cylindrical shells. Answer the following questions. Using the washer method, set up the integral. V: pi(y^2-y^(2/4)) dy with a = and b = 4 Using the method of cylindrical shells, set up the integral. V ? with c = and d = 2 Choose either integral to find the volume. Volume = 8pi/3
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