Mercury does not adhere to a glass surface, so when a glass tube immersed in a pool of mercury, the meniscus is depressed, as a shown in Figure. The surface tension of mercury is $0\mathrm{.}514$ N$/$m and the angle contact is $40\backslash$deg $.$ Calculate the depression distance in a $1$ mm diameter glass tube. Take mercury density of $13600$kg$/$m$3.$