Units for pressure in a cylinder

[Pranshu]

I am calculating pressure on a spherical cylinder of 10 mm diameter by wind tunnel. when measuring values in manometer filled with water which density is 1000 kg/m^3 so by hydro-static formula the pressure difference is [P2-P1=ρg(h2-h1)]

so by this formula the ρ unit is in kg/m3 and gravity(g) we know 9.81 m/s^2 so the unit of (h2-h1) must be meter? or mm will be fine as well?
I am confused by this small problem..

<<Mentor note: Removed comments unrelated to question>>

 

[Orodruin]

The formula does not presuppose anything about the units. You will get the same units out as you put in.

 

[Pranshu]

The formula does not presuppose anything about the units. You will get the same units out as you put in.

Thank you...

But the unit which i put in must be same...for instance if i have ρ in meter and g in meter as well...so can i use h means the height in mm?
or it should be meter too?

that's my real question.

 

[Orodruin]

You can use h in mm, but it will make your result have units of N mm/m^3 instead of N/m^2. (The first is equivalent to units of mPa.)