A region bounded by f(x) = √√4 — x², y = 0, and x = 0 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. 4. 3 2 1 543-2-11' 1 2 3 4 5 -2 V = 3- 4+ -5 OV = 32 T O V = 16 T 32 T 16 O V= π 3 X

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 25E
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A region bounded by f(x) = √4 – x², y = 0, and x = 0 is shown below.
Find the volume of the solid formed by revolving the region about the x-axis.
54-3-2-1
5
4
3
2
1
V =
रुँ तल प
V =
-2 +
-3+
4
-5
V = 32 T
Y
V = 16 T
1 2 3 4 5
16
R
23 63
π
Transcribed Image Text:A region bounded by f(x) = √4 – x², y = 0, and x = 0 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. 54-3-2-1 5 4 3 2 1 V = रुँ तल प V = -2 + -3+ 4 -5 V = 32 T Y V = 16 T 1 2 3 4 5 16 R 23 63 π
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