Rising of a liquid during rotataion in a cylinder

[NimzCr7]

Homework Statement

[/B]
A 25-cm-diameter, 100-cm-high cylindrical container, (as shown), is partially filled with 75-cm-high liquid (density = 900 kg/m³). Determine the rotational speed at which the liquid will start spilling. Calculate the gauge pressure at the centre of the bottom of the tank when the liquid starts spilling.
http://uupload.ir/files/7ipj_capture.png

Homework Equations

z_s = h₀ - ω² / 4g ( R² - 2r²)
p = ρgh

The Attempt at a Solution

http://uupload.ir/files/md0_29883624_1664433426984266_1728994950_o.jpg [/B]

If someone could please verify me answers, that would be great. In particular, I'm a bit concerned about my answer to the second part of the question.
Thanks

 

[scottdave]

Looks correct to me.