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Use washers to find the volume formed by rotating the region enclosed by: y = 0.6 – 0.6|x – 12| and y = 0 about the y-axis

Use washers to find the volume formed by rotating the region enclosed by: y = 0.6 – 0.6|x – 12| and y = 0 about the y-axis

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Use washers to find the volume formed by rotating the region enclosed by: y = 0.6 – 0.6|x – 12| and y = 0 about the y-axis
Transcribed Image Text:Use washers to find the volume formed by rotating the region enclosed by: y = 0.6 – 0.6|x – 12| and y = 0 about the y-axis
Expert Solution
Step 1

For y=0,

0.6-0.6x-12=0x-12=1x-12=1,x-12=-1x=13,x=11

The inner radius of rotation is,

y=0.6-0.6x-12⇒x=y-0.60.6+12y=0.6-0.6x-12⇒x=0.6-y0.6+12

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