Question
Use spherical coordinates.
Evaluate
Triple integral SSSE
where E lies between the spheres
x^2 + y^2 + z^2 = 25
and
x^2 + y^2 + z^2 = 49
in the first octant.
Evaluate
Triple integral SSSE
where E lies between the spheres
x^2 + y^2 + z^2 = 25
and
x^2 + y^2 + z^2 = 49
in the first octant.
Answers
the two spheres are r=5 and r=7
recall that the volume element is
dv = r^2 sinθ dr dθ dØ
this is easy to check your answer, since you can just directly subtract the inner volume from the outer one.
recall that the volume element is
dv = r^2 sinθ dr dθ dØ
this is easy to check your answer, since you can just directly subtract the inner volume from the outer one.
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