Example 8-5-3 - Maple Help



Chapter 8: Applications of Triple Integration



Section 8.5: Changing Variables in a Triple Integral



Example 8.5.3



 Using cylindrical coordinates, calculate the volume of $R$, the region bounded by the paraboloids  and $z=9\left({x}^{2}+{y}^{2}\right)$ and the planes $z=2$ and $z=3$. Then, recalculate the volume by making the change of variables $x=\left(u/v\right)\mathrm{cos}\left(w\right)$, $y=\left(u/v\right)\mathrm{sin}\left(w\right)$, $z={u}^{2}$.









For more information on Maplesoft products and services, visit www.maplesoft.com