Find the volume of the solid formed by revolving the region bounded by the graphs of y = x' + x + 1, y = 1, and x = 1 about the line x = 2.

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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Find the volume of the solid formed by revolving the region bounded by the graphs of y = x' + x + 1, y = 1, and x = 1 about
%3D
the line x = 2.
а.
V = 2n
(2 – x)(x³ + x) dx
Ob.
V = 2n
(x – 2)(-x + x) dx
Oc.
V = 2n
2x(x³ + x + 1) dx
d. None of the choices.
е.
V = 2n
x(x³ + x + 1) dx
Transcribed Image Text:Find the volume of the solid formed by revolving the region bounded by the graphs of y = x' + x + 1, y = 1, and x = 1 about %3D the line x = 2. а. V = 2n (2 – x)(x³ + x) dx Ob. V = 2n (x – 2)(-x + x) dx Oc. V = 2n 2x(x³ + x + 1) dx d. None of the choices. е. V = 2n x(x³ + x + 1) dx
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