Let R be the region enclosed by the line y = 7 and the curve y = x² +3. (-2, 7) y = 7 (2, 7) R y = x² + 3 y = 2 A solid is generated by rotating R about the line y = 2. What is the volume of the solid? Give an exact answer in terms of T.

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Let R be the region enclosed by the line y = 7 and the curve y = x? + 3.
(-2, 7)
y = 7
(2, 7)
R
y = x² + 3
y = 2
A solid is generated by rotating R about the line y = 2.
What is the volume of the solid?
Give an exact answer in terms of T.
Transcribed Image Text:Let R be the region enclosed by the line y = 7 and the curve y = x? + 3. (-2, 7) y = 7 (2, 7) R y = x² + 3 y = 2 A solid is generated by rotating R about the line y = 2. What is the volume of the solid? Give an exact answer in terms of T.
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