6. Let E be the region of R3 inside the intersection of the sphere centered on the origin of radius 2 and of the sphere of radius 2 centered on the point (0,0, 2). (a) Write a triple iterated integral representing the volume of the region E. Do not evaluate it! (b) Show that the volume of the region E is smaller than 67, without evaluating any integral

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6. Let E be the region of R3 inside the intersection of the sphere centered on the origin of radius
2 and of the sphere of radius 2 centered on the point (0,0, 2).
(a) Write a triple iterated integral representing the volume of the region E. Do not evaluate
it!
(b) Show that the volume of the region E is smaller than 67, without evaluating any integral
Transcribed Image Text:6. Let E be the region of R3 inside the intersection of the sphere centered on the origin of radius 2 and of the sphere of radius 2 centered on the point (0,0, 2). (a) Write a triple iterated integral representing the volume of the region E. Do not evaluate it! (b) Show that the volume of the region E is smaller than 67, without evaluating any integral
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