Setup in spherical coordinates, BUT DO NOT EVALUATE, an iterated triple integral to compute the volume of the solid inside the sphere 2 +y? + 22 = 4 and outside the cylinder 2 + y? = 1. %3D 6 p sin(y) dp de dy 2 Iở sin(v) dp do dọ 27 6 L p sin(y) dpdð dp csc( sin(4) dp de dp csc(p) II P cos(4) dp dð dp 5w 2 T sin(p) dp d9 dp 2 csc(v) IL sin(p) dpdo do 2 свc (p) JIT. dp d0 dp
Setup in spherical coordinates, BUT DO NOT EVALUATE, an iterated triple integral to compute the volume of the solid inside the sphere 2 +y? + 22 = 4 and outside the cylinder 2 + y? = 1. %3D 6 p sin(y) dp de dy 2 Iở sin(v) dp do dọ 27 6 L p sin(y) dpdð dp csc( sin(4) dp de dp csc(p) II P cos(4) dp dð dp 5w 2 T sin(p) dp d9 dp 2 csc(v) IL sin(p) dpdo do 2 свc (p) JIT. dp d0 dp
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:Setup in spherical coordinates, BUT DO NOT EVALUATE, an iterated triple integral to compute the
volume of the solid inside the sphere 2 + y + 22 = 4 and outside the cylinder x2 + y? = 1.
%3D
57
2
6.
1 psin(v) dp do dọ
0.
sin(y)
5
,2
p² sin(4) dp d0 dp
0.
2
11P sin(4) dp d0 dp
csc(4)
6.
0.
2
TLP sin(4) dp dô dp
csc(p)
27
2
TT P cos(4) dp dð dp
0.
4
1TL P sin(19) dp dô dọ
2 csc(p)
27
p² sin(4) dp d0 dp
2 csc(v)
dp d0 dp
0.
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