- #1

- 10

- 0

## Homework Statement

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]

## Homework Equations

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

## 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?