1) 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 radius of the cylindrical shell? What is the height of the cylindrical shell? (in terms of x and/or y) c) Determine the direction/orientation of the cross-sections and then determine whether we are using or dy for the thickness. d) What is the expression of the surface area of the cylindrical shell in terms of x and/or y (can be determined from part c)? f) Set up the integral to calculate the volume of the solid. (Do not need to evaluate the integral)

1) 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 radius of the cylindrical shell? What is the height of the cylindrical shell? (in terms of x and/or y) c) Determine the direction/orientation of the cross-sections and then determine whether we are using or dy for the thickness. d) What is the expression of the surface area of the cylindrical shell in terms of x and/or y (can be determined from part c)? f) Set up the integral to calculate the volume of the solid. (Do not need to evaluate the integral)

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

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