Problem $1$: Pressure in a pipe is measured using the height of a water column in a glass tube.

For a $3$ mm diameter tube, how much of the water column height is due to surface tension?

How much of the height would be due to surface tension if the tube were $0\mathrm{.}4$ mm in diameter?

Assume water is perfectly wetting of the glass $($wetting angle is zero degrees$)$ and that the

surface tension is $0\mathrm{.}075\frac{N}{m}.$