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
Erdos
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
- 845 views
- $24.60
Related Questions
- Calculating Driveway Gravel Area and Optimizing Cardboard Box Volume
- Find the arc length of $f(x)=x^{\frac{3}{2}}$ from $x=0$ to $x=1$.
- Spot my mistake and fix it so that it matches with the correct answer. The problem is calculus based.
- A constrained variational problem
- Integrate $\int \frac{1}{x^2+x+1}dx$
- Calculus - stationary points, Taylor's series, double integrals..
- Applications of Stokes' Theorem
- Reduction formulae
