bordinates where R: 0 < aw the solid R. th 2 2

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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Set-up only, no need to get the value. 

Set up only a triple integral that will give the following:
(a) the volume of R using cylindrical coordinates where R 0 ≤ x ≤ 1, 0 ≤ y ≤
√1-x², 0≤x≤ √√4 − (x² + y²). Draw the solid R.
(b) the volume of the solid B that lies above the cone z = √√x² + y2 and below the sphere
x² + y² + z² = 2az, where a > 0, using spherical coordinates. Draw the solid B
Transcribed Image Text:Set up only a triple integral that will give the following: (a) the volume of R using cylindrical coordinates where R 0 ≤ x ≤ 1, 0 ≤ y ≤ √1-x², 0≤x≤ √√4 − (x² + y²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √√x² + y2 and below the sphere x² + y² + z² = 2az, where a > 0, using spherical coordinates. Draw the solid B
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