Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the following represents the integral to find the volume of the solid generated by revolving R about x-axis using cylindrical shell? (1,√3) x² + y²=4 -1 0 y=x+4 - [№vª 2# ( 4y + y² + 3√4 −1²) dy V= OA. v=[^2=(4y + y² + 3√4-²) dy V= O C. V m = * 2m (4y - y²-3√4-1²) dy OB. V = 2x (4y - 1²-√4-1²) dy O D.
Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the following represents the integral to find the volume of the solid generated by revolving R about x-axis using cylindrical shell? (1,√3) x² + y²=4 -1 0 y=x+4 - [№vª 2# ( 4y + y² + 3√4 −1²) dy V= OA. v=[^2=(4y + y² + 3√4-²) dy V= O C. V m = * 2m (4y - y²-3√4-1²) dy OB. V = 2x (4y - 1²-√4-1²) dy O D.
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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Transcribed Image Text:Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4
and y=0. Which of the following represents the integral to find the volume
of the solid generated by revolving R about x-axis using cylindrical shell?
|(1, √3)
x² + y²=4
-1
0
y=x+4
V=
V = √³ 27 (4y + y² + y√4 −1²³) dy
y
O A.
V=2(4y + y² + 3√4-3²) dy
1
C.
V=
1 = √³ 2 = (4y - 1²³ - Y√4-1 dy
OB.
V = 2x (4y - 1³-√4-1²³) dy
D
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