Is My Method for Calculating Pressure Difference in a Venturi Meter Correct?

[Gorz]

Homework Statement

Water flows through a venturi meter, with an inlet diameter of 25cm and a throat diameter of 15cm. The pressure difference is measured using a manometer, which displaces the mercury by 12mm on the throat side.

Homework Equations

Bernoulli's
Mass continuity
P=rho.g.h

The Attempt at a Solution

Is this correct? I have no answers available as its from a past paper. My exam is tommorow and I would just like to clarify that the method I have used to find the pressure difference is correct.

Thanks.

 

[Gorz]

No one able to help with this?

My exam is tommorow morning and I wouldn't mind some closure on my quiery.