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

4.8K
-
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.
- answered
- 813 views
- $24.60
Related Questions
- Calc 3 Question
- Evaluate $\int \frac{x^5}{\sqrt{x^2+2}}dx$
- Calculating Driveway Gravel Area and Optimizing Cardboard Box Volume
- A telephone line hanging between two poles.
- Calculus - stationary points, Taylor's series, double integrals..
- Evaluate $\iint_{R}e^{-x-y}dx dxy$
- Use Stokes’ Theorem to calculate $\iint_{S} \nabla \times V· dS$ on the given paraboloid
- Derivative of $\int_{\sin x}^{x^2} \cos (t)dt$