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$(1$ point$)$ Express the volume of the solid that the cylinder $r=3cos$ cuts out of the sphere of radius $3$ centered at the origin with a

triple integral in cylindrical coordinates.

NOTE: When typing your answers use $"th"$ for $.$

Volume $={\displaystyle \underset{{}_1}{\overset{{}_2}{}}}{\displaystyle \underset{r_1}{\overset{r_2}{}}}{\displaystyle \underset{z_1}{\overset{z_2}{}}},,dzdrd$

$z_1=$

$z_2=\sqrt[\phantom{2}]{9-r^2}$

$r_1=$

$r_2=$

${}_1=-\frac{}{2}$

${}_2=$

Evaluate the integral

Volume $=$