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Express the volume of the solid lying inside the sphere z + y? + z? = 20 and outside the cylinder z + y² = 5 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.

Express the volume of the solid lying inside the sphere z + y? + z? = 20 and outside the cylinder z + y² = 5 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively.

Advanced Engineering Mathematics
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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Express the volume of the solid lying inside the sphere z + y? + z? = 20 and outside the cylinder z? + y² = 5 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively. V20- V20- y dz dy dz, rdzdr d8, /6 1/sind O 4 dz dy dz, rdz dr de, 2 /2 j psinodpdó do, ! dzdydz, TT ! rdz dr de, ITi psing dpdø do, O x/6 1/sirad 0 8 j s Į dz dydz, 27T rdrdzdo, /6 1/nino dz dy dz, r dr dz dº, O x/6 1/sino
Transcribed Image Text:Express the volume of the solid lying inside the sphere z + y? + z? = 20 and outside the cylinder z? + y² = 5 with triple integral in cartesian coordinates, cylindrical coordinates and spherical coordinates respectively. V20- V20- y dz dy dz, rdzdr d8, /6 1/sind O 4 dz dy dz, rdz dr de, 2 /2 j psinodpdó do, ! dzdydz, TT ! rdz dr de, ITi psing dpdø do, O x/6 1/sirad 0 8 j s Į dz dydz, 27T rdrdzdo, /6 1/nino dz dy dz, r dr dz dº, O x/6 1/sino
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