Example 7-6-2 - Maple Help



Chapter 7: Triple Integration



Section 7.5: Integration in Spherical Coordinates



Example 7.6.2



 Use spherical coordinates to integrate the function $f=1$ over $R$, the region above the cone $z=\sqrt{{x}^{2}+{y}^{2}}$ but below the unit sphere that is centered at $\left(0,0,1\right)$. (This region was graphed in Example 7.5.4.) (See Example 7.4.11 where this integral is evaluated in cylindrical coordinates.)