Express the volume of the solid lying inside the sphere x? + y2 + z2 = 36 and outside the cylinder x2 + y² = 9 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
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Express the volume of the solid lying inside the sphere x? + y2 + z2 = 36 and outside the
cylinder x2 + y² = 9 with triple integral in cartesian coordinates, cylindrical coordinates and
spherical coordinates respectively.
(x2 + y? + z2 = 36 kürenin içinde ve x? + y? = 9 silindirin dışında kalan cismin hacmini
sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).
Transcribed Image Text:Express the volume of the solid lying inside the sphere x? + y2 + z2 = 36 and outside the cylinder x2 + y² = 9 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively. (x2 + y? + z2 = 36 kürenin içinde ve x? + y? = 9 silindirin dışında kalan cismin hacmini sırasıyla kartezyen koordinat, silidirik koordinat ve küresel koordinatlar ile ifade ediniz).
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