Which triple integral in cylindrical coordinates gives the volume of the solid bounded below by the paraboloid z = a² + y² – 1 and above by the sphere 2² + y² + z² = 7 ? (a) r dz dr do ILL (0) LLL- (4) II (Ь) r dz dr do p2-1 r dz dr do rv r dz dr do 0. 0. r2-1 IIL rdzdr do (e) 12-1

Which triple integral in cylindrical coordinates gives the volume of the solid bounded below by the paraboloid z = a² + y² – 1 and above by the sphere 2² + y² + z² = 7 ? (a) r dz dr do ILL (0) LLL- (4) II (Ь) r dz dr do p2-1 r dz dr do rv r dz dr do 0. 0. r2-1 IIL rdzdr do (e) 12-1

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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Question

Which triple integral in cylindrical coordinates gives the volume of the solid bounded below by the paraboloid z = x² + y² − 1 and above by the sphere x² + y² + z²= 7 ?

Which triple integral in cylindrical coordinates gives
the volume of the solid bounded below by the
paraboloid z = r² + y² – 1 and above by the sphere
x² + y? + 2? = 7 ?
rv3 cVT-r
(a)
r dz dr do
V3 Jr2-1
(b)
r dz dr do
V2 Jr2-1
V3
(c)
r dz dr do
7-
(d)
r dz dr do
2-1
27
/3
(e)
r dz dr do
2-1

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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