If k € R+, which of the following expressions or triple integrals is NOT equal to the volume of a sphere with equation x² + y² + z² = k² ? 27 k f² f S p² sin dp dó dº 4 Sht. So k²-x² k²-x²-y² Sov /k²_p² ㅠ 8 fő ft Sö None of the given choices dz dy dx r dz dr de k ○ 2 fő fő fő p² sin dp do dº

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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If k € R+, which of the following
expressions or triple integrals is NOT
equal to the volume of a sphere with
equation x² + y² + z² = k² ?
2π
k
S2² S S p² sin o dp dó dº
4
St. So
k²-x² k²-x²-y²
So
8 fő ft Sö
/k²_p²
dz dy dx
r dz dr de
None of the given choices
ㅠ
ㅠ
k
2 f f f p² sin & dp do dº
Transcribed Image Text:If k € R+, which of the following expressions or triple integrals is NOT equal to the volume of a sphere with equation x² + y² + z² = k² ? 2π k S2² S S p² sin o dp dó dº 4 St. So k²-x² k²-x²-y² So 8 fő ft Sö /k²_p² dz dy dx r dz dr de None of the given choices ㅠ ㅠ k 2 f f f p² sin & dp do dº
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