2) Region R, that is bounded by the graph y = 2 + Va, x=1 and y=2, is revolved about the line x=1 to form a solid of revolution. Answer the following questions: a) Sketch the region R b) What is the shape of the cross-section?

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
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2) Region R, that is bounded by the graph y
2+ Vx, x=1 and y=2, is revolved about the line x=1 to
form a solid of revolution. Answer the following questions:
a) Sketch the region R
b) What is the shape of the cross-section?
c) Determine the direction/orientation of the cross-sections and then determine whether we are using dx
or dy for the thickness.
d) What is the general formula for the area of the cross-section?
e) What is the expression of the area of the cross-section in terms of x and/or y?
f) Set up the integral to calculate the volume of the solid. (Do not need to evaluate the integral)
Transcribed Image Text:2) Region R, that is bounded by the graph y 2+ Vx, x=1 and y=2, is revolved about the line x=1 to form a solid of revolution. Answer the following questions: a) Sketch the region R b) What is the shape of the cross-section? c) Determine the direction/orientation of the cross-sections and then determine whether we are using dx or dy for the thickness. d) What is the general formula for the area of the cross-section? e) What is the expression of the area of the cross-section in terms of x and/or y? f) Set up the integral to calculate the volume of the solid. (Do not need to evaluate the integral)
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