How high does water rise?

Water climbs thin tubes by capillary action, $h = \dfrac{2T}{\rho g r}$. You will write the height as a function, work it out for tubes from 100 µm down to 5 µm, and find the widest tube that lifts water more than 2 m.

The idea. The height grows as the tube gets thinner. Change micrometres to metres before you use the formula.

Your tasks.

1. In height, return the height in metres for a radius in micrometres.
2. Set heights to the height for every radius in radii.
3. Set first_over_2 to the first radius in radii that lifts water more than 2 m.