5. Let D be the region in space lying inside the sphere x² + y² +² = 4, outside the cone z² = 3(x² + y²) and above the xy-plane. Which of the following computes the volume of D in cylindrical coordinates? (a) -2π 2 (b) [² f² f (c) (d) (e) 2πT L³ LK Ᏻ Ᏻ Ᏻ •2TT 2 + 3r2 FC C 3r2 r dz dr de f²f²f .2п TIE x 3r2 3r2 r dz dr de r dz dr de r dz dr de r dz dr de r dz dr de "π 2 + LL²L**** r dz dr de
5. Let D be the region in space lying inside the sphere x² + y² +² = 4, outside the cone z² = 3(x² + y²) and above the xy-plane. Which of the following computes the volume of D in cylindrical coordinates? (a) -2π 2 (b) [² f² f (c) (d) (e) 2πT L³ LK Ᏻ Ᏻ Ᏻ •2TT 2 + 3r2 FC C 3r2 r dz dr de f²f²f .2п TIE x 3r2 3r2 r dz dr de r dz dr de r dz dr de r dz dr de r dz dr de "π 2 + LL²L**** r dz dr de
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 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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Transcribed Image Text:5. Let D be the region in space lying inside the sphere
x? +y? +z? = 4, outside the cone 2? = 3(x² + y³) and
above the ry-plane. Which of the following computes
the volume of D in cylindrical coordinates?
2
3r2
(a)
r dz dr do
2
+
r dz dr do
V3r²
(b)
r dz dr do
r27
(c)
r dz dr de
(d)
r dz dr do
3r2
3r2
r dz dr d0
(e)
+
r dz dr d0
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