14) The solid is generated by rotating R about y = -3. 15) The solid is generated by rotating R about x = 1.

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 29E
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just 14 and 15

In Problems 11-15, let R be the region bounded by the lines y=-2x-4, y = 6, and x = -2. Each problem
will describe a solid generated by rotating R about an axis. Find the volume of that solid (you do evaluate
these problems).
11) The solid is generated by rotating R about the x-axis.
=
mom
mom.
12) The solid is generated by rotating R about the y-axis.
13) The solid is generated by rotating R about x = −2.
2
14) The solid is generated by rotating R about y = −3.
15) The solid is generated by rotating R about x = 1
Transcribed Image Text:In Problems 11-15, let R be the region bounded by the lines y=-2x-4, y = 6, and x = -2. Each problem will describe a solid generated by rotating R about an axis. Find the volume of that solid (you do evaluate these problems). 11) The solid is generated by rotating R about the x-axis. = mom mom. 12) The solid is generated by rotating R about the y-axis. 13) The solid is generated by rotating R about x = −2. 2 14) The solid is generated by rotating R about y = −3. 15) The solid is generated by rotating R about x = 1
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