- #1

- 374

- 7

## Homework Statement

A container has a round hole at the bottom. The diameter of the hole is 0.1 mm. The container is filled with water. The maximum height (in m) up to which whiter can be filled without leakage is h/10. Find h.

Surface tension= 75 * 10^-3 N/m

## Homework Equations

Pgh*A=F(of surface tension)

## The Attempt at a Solution

Weight of water on the hole should equal force of surface tension.

Pgh*pi*r^2=T*2*2*pi*r

solving for h, I get h=6. However, the answer is 3. Does this mean that force of surface tension is not equal to 2*(T*2*pi*r) and instead is just equal to (T*2*pi*r)? However, isn't force of surface tension T*two times the length in contact??