Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = 2 +z- and y+z 2 about the y-axis. Below is a graph of the bounded region. Note: You can click on the graph to enlarge the image.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.8: Volumes Of Pyramids And Cones
Problem 13E
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Use the method of cylindrical shells to find the volume
generated by rotating the region bounded by the curves
y = 2+1- x and y+z = 2 about the y-axis. Below
is a graph of the bounded region.
Note: You can click on the graph to enlarge the image.
Part 1
The radius from the axis of revolution to a
representative rectangle is given by p(z) =U
Part 2
The height of a representative rectangle is given by
h(z) =O
Part 3
Note: round your answer to nearest hundredth.
Volume =
Tcubic units
Transcribed Image Text:Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = 2+1- x and y+z = 2 about the y-axis. Below is a graph of the bounded region. Note: You can click on the graph to enlarge the image. Part 1 The radius from the axis of revolution to a representative rectangle is given by p(z) =U Part 2 The height of a representative rectangle is given by h(z) =O Part 3 Note: round your answer to nearest hundredth. Volume = Tcubic units
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