Example 8-2-10 - Maple Help



Chapter 8: Applications of Triple Integration



Section 8.2: Average Value



Example 8.2.10



 Obtain the average value of $f\left(\mathrm{ρ},\mathrm{φ},\mathrm{θ}\right)=\sqrt{\mathrm{ρ}}$ over $R$, the region enclosed by the surface $\mathrm{ρ}=1-\mathrm{cos}\left(\mathrm{φ}\right)$, where $\left(\mathrm{ρ},\mathrm{φ},\mathrm{θ}\right)$ are the variables in spherical coordinates. (See Example 8.1.21.)