How Does Fluid Density Affect Absolute Pressure in a Siphon System?

[mchesypoof]

Homework Statement

A flexible tube can be used as a simple siphon to transfer fluid from one container to a lower container. The fluid has a density of 800. kg/m3. See the dimensions given in the figure, and take atmospheric pressure to be 101.3 kPa.
There are three points given:

Pt X is 10cm below the fluid line in tub from which the fluid is draining.
Pt Y is 20cm above the fluid level in the tub.
Pt Z is 60cm below the fluid level in the tub.

What is the absolute pressure at point Y?

Homework Equations

1) ∆P=density x gravity x ∆height
and 2) Archimedes' principle

The Attempt at a Solution

I've already found the speed of the fluid in the siphon to be 3.429m/s at pts Y and Z.
From the book I derived the equation 1 and tried using both .2m and .3m for the ∆h, but to no avail. I didn't forget to add the 101.3kpa to the pressure either, and since neither of the previous two answers are correct, I'm a little lost.

 

[member 553083]

I'm thinking the problem has something to do with Archimedes' Principle, but I don't understand how that applies. Can someone please help?