Center of mass with triple integral

Calculate the center of mass between $x^2+y^2+z^2=2y$ and $x^2+y^2+z^2=4y$ using a triple integral. The formula for density is given by $f(x,y,z) = (x^2+y^2+z^2)^{1/2}$.

Please show work


Answers can only be viewed under the following conditions:
  1. The questioner was satisfied with and accepted the answer, or
  2. The answer was evaluated as being 100% correct by the judge.
View the answer

2 Attachments

Erdos Erdos
  • Erdos Erdos

    There was a small mistake in the solution. Please see the corrected solution (second file).

The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.