Use the region R that is bounded by the graphs of y = 1 + Vx, 4, and y = 1 to complete the exercise y A y 5 11 Va x5 4 R 1 y 51 Region R is revolved about the y-axis to form a solid of revolution whose cross sections are washers. a. What is the outer radius of a cross section of the solid at a point y in 31, 34? b. What is the inner radius of a cross section of the solid at a point y in 31, 34? c. What is the area Aly2 of a cross section of the solid at a point y in 31, 34? d. Write an integral for the volume of the solid. 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 23E
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Use the region R that is bounded by the graphs of y = 1 + Vx,
4, and y = 1 to complete the exercise
y
A
y 5 11 Va
x5 4
R
1
y 51
Region R is revolved about the y-axis to form a solid of revolution
whose cross sections are washers.
a. What is the outer radius of a cross section of the solid at a
point y in 31, 34?
b. What is the inner radius of a cross section of the solid at a
point y in 31, 34?
c. What is the area Aly2 of a cross section of the solid at a point
y in 31, 34?
d. Write an integral for the volume of the solid.
3.
Transcribed Image Text:Use the region R that is bounded by the graphs of y = 1 + Vx, 4, and y = 1 to complete the exercise y A y 5 11 Va x5 4 R 1 y 51 Region R is revolved about the y-axis to form a solid of revolution whose cross sections are washers. a. What is the outer radius of a cross section of the solid at a point y in 31, 34? b. What is the inner radius of a cross section of the solid at a point y in 31, 34? c. What is the area Aly2 of a cross section of the solid at a point y in 31, 34? d. Write an integral for the volume of the solid. 3.
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