$5$ Comparing coordinate systems Consider the "ice cream cone" shaped region bounded below by the cone $\backslash ($ z$=\backslash$sqrt$\{$x$^\{2\}+$y$^\{2\}\}\backslash )$ and above by the unit sphere. Set up and evaluate an integral to find the volume of this region using $($a$)$ Cartesian coordinates $($don$\text{'}$t spend too much time on this one$)($b$)$ Cylindrical coordinates $($c$)$ Spherical coordinates $($d$)$ Which system of coordinates did you prefer using, and what about the problem made this particular preference more convenient for you?