$6.$ Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of $\backslash (10\backslash$mathrm$\{$in$\}^\{3\}/\backslash$mathrm$\{$min$\}\backslash ).($SHOW ALL WORK$)$

$($a$)$ How fast is the level in the pot rising when the coffee in the cone is $5$ in$.$ deep?

$($b$)$ How fast is the level in the cone falling then?