$(20$ points$)$ Water flows from the roots to the top of a tree through capillaries in the trunk of the tree. The capillaries in a Live Oak tree $($shown below$)$ are $0\mathrm{.}012$ mm in diameter. If the surface tension of water is $72$ xx$10^(-3)$N$//$m$,$ how far up the tree will the water reach in the capillaries? The density of water is $1000$kg$//$m$^(3).$ You can assume that the contact angle between the water and the capillary is $0$ degrees.

Hint: the force due to surface tension, acting along the perimeter of the capillary, must counteract the weight of the water in the capillary.