A room measures $3\mathrm{.}5$ m by $4\mathrm{.}5$ m by $6\mathrm{.}0$ m $.$ If the heating and air conditioning ducts to and from the room are circular with diameter $0\mathrm{.}30$ m and all the air in the room is to be exchanged every $12$ min $,$ what is the average flow rate?

$51\mathrm{.}0\frac{m^3}{s}$

$7\mathrm{.}9\frac{m^3}{s}$

$0\mathrm{.}13\frac{m^3}{s}$

$0\mathrm{.}39\frac{m^3}{s}$