Express the volume of the solid lying inside the sphere a? + y? + 22 = 8 and outside the cylinder ? + y? = 2 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively. (22 + y2 + 22 = 8 kürenin içinde ve z? + y? = 2 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).

Express the volume of the solid lying inside the sphere a? + y? + 22 = 8 and outside the cylinder ? + y? = 2 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively. (22 + y2 + 22 = 8 kürenin içinde ve z? + y? = 2 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).

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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Question

Express the volume of the solid lying inside the sphere a? + y? + 22 = 8 and outside the cylinder a? + y? = 2 with triple
integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.
(22 + y2 + 22 = 8 kürenin içinde ve z? + y? = 2 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat,
silidirik koordinat ve küresel koordinatlar ile ifade ediniz).

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