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A solid S occupies the region of space located outside the sphere x2 + y2 +...

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Physics

A solid S occupies the region of space located outside thesphere x2 + y2 + z2 = 8 and insidethe sphere x2 + y2 + (z - 2)2 = 4.The density of this solid is proportional to the distance from theorigin.

  • Determine the center of mass of S.
  • Is the center of mass located inside the solid S ?Carefully justify your answer.

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