Chapter 14.6, Problem 66E

Average Value In Exercises 63-66, find the average value of the function over the given solid region. The average value of a continuous function f(x, y, z) over a solid region is $\text{Average}\text{value}=\frac{1}{V}{\displaystyle \underset{Q}{\iiint }f(x,y,z)dV}$ where V is the volume of the solid region Q.

$f(x,y,z)=x+y$ over die solid bounded by the sphere $x^2+y^2+z^2=3$