Set $up$ the triple integral $in$ cylindrical coordinates $to$ find the volume $of$ the solid that

bounded below $by$ the paraboloid $z=x^2+y^2$ and above $by$ the sphere $x^2+y^2+z^2=2.$

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{0}{\overset{1}{}}}{\displaystyle \underset{r^2}{\overset{2-r^2}{}}}rdzdrd$

${\displaystyle \underset{0}{\overset{}{}}}{\displaystyle \underset{0}{\overset{1}{}}}{\displaystyle \underset{r^2}{\overset{\sqrt[\phantom{2}]{2-r^2}}{}}}rdzdrd$

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{0}{\overset{1}{}}}{\displaystyle \underset{r^2}{\overset{\sqrt[\phantom{2}]{2-r^2}}{}}}rdzdrd$

none $of$ these above