Express the volume of the solid lying inside the sphere r +y +2 =4 and outside the cylinder z +y =1 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.
Express the volume of the solid lying inside the sphere r +y +2 =4 and outside the cylinder z +y =1 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Express the volume of the solid lying inside the sphere z +y? +z2 = 4 and outside the cylinder z + y? = 1 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.
(z + y? + 2 = 4 kürenin içinde ve z +y =1 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).
Lütfen birini seçin:
2 va V
dz dy dz,
rdr dz do,
4Ti Psino dp dø dô,
dz dy dz,
2 rdzdr do,
/6 1/atno
2r 2 va
rdr dz de,
25 T sino dpdó do,
1/aind
de dydz,
2r 2 va
!! rdzdr do,
/6 1/strnd
4 V Vy
0 de dydz,
s rdzdr di,
*/6 1/atnd
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