4. Consider the rectangle bounded by x = 1 and x = 4 on the y-interval [3, 3.5]. (a) What is the volume of the disk obtained by rotating this rectangle around the line x = 4? (b) What is the volume of the washer obtained by rotat- ing this rectangle around the y-axis?

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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4. Consider the rectangle bounded by x = 1 and x = 4 on
the y-interval [3, 3.5].
(a) What is the volume of the disk obtained by rotating
this rectangle around the line x = 4?
(b) What is the volume of the washer obtained by rotat-
ing this rectangle around the y-axis?
Transcribed Image Text:4. Consider the rectangle bounded by x = 1 and x = 4 on the y-interval [3, 3.5]. (a) What is the volume of the disk obtained by rotating this rectangle around the line x = 4? (b) What is the volume of the washer obtained by rotat- ing this rectangle around the y-axis?
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