So, the volume of the solid of revolution is 9. Volume = V = Tt (9 - x2)2 dx. To find the volume, integrate from x = to x = 3. V = TT (x4 18x2 + 81) dx = TT X 18x +81 dx 18 - 3 + (81 3 0) = It - 0 (- . 20) 243 +243 = T 3 TT 15

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.CR: Review Exercises
Problem 22CR
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So, the volume of the solid of revolution is
b.
Volume = V = Tt
(9 x2)2 dx.
Ja
To find the volume, integrate from x =
to x = 3.
V = Tt
(x4- 18x2 + 81) dx
13
= TT X
18x
+ 81 dx
%3D
5
18 3
+ (81·3- 0)
243
TT
+243
TT
15
3.
3.
Transcribed Image Text:So, the volume of the solid of revolution is b. Volume = V = Tt (9 x2)2 dx. Ja To find the volume, integrate from x = to x = 3. V = Tt (x4- 18x2 + 81) dx 13 = TT X 18x + 81 dx %3D 5 18 3 + (81·3- 0) 243 TT +243 TT 15 3. 3.
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