I thought this question was elementary... but I apparently know less than I thought I did.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Use spherical coordinates to evaluate [tex]\iiint_{E} x^{2}+y^{2}+z^{2}dV[/tex]

Where E is the ball [tex]x^{2}+y^{2}+z^{2}\leq 16 [/tex]

2. Relevant equations

[tex]x^{2}+y^{2}+z^{2}=\rho^{2}[/tex]

3. The attempt at a solution

[tex]\int^{2\pi}_{0}\int^{\pi}_{0}\int^{4}_{0}\left(\rho^{2}\right)\rho Sin \left( \phi \right) d\rho d\phi d\theta = 256\pi[/tex]

which is apparently incorrect. Where am I going wrong?

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# Homework Help: Spherical Coordinates Triple Integral

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