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**1. Homework Statement**

A U-shaped tube is partly filled with water and partly filled with a liquid that does not mix with water. Both sides of the tube are open to the atmosphere. If h1 = 0.52 m and h2 = 0.16 m, what is the density of the liquid?

**2. Homework Equations**

ρ[itex]_{u}[/itex]=h[itex]_{1}[/itex]/h[itex]_{2}[/itex] * ρ[itex]_{k}[/itex]

as in: unknown density = ratio of heights times known density

ρ[itex]_{k}[/itex]= density of water = 1 cm[itex]^{3}[/itex]/mL

**3. The Attempt at a Solution**

so I just plugged the info in, seems relatively simple...

ended up with

ρ[itex]_{u}[/itex]= 52 cm/16 cm * 1 cm[itex]^{3}[/itex]/mL = 3.25 cm[itex]^{3}[/itex]/mL

but for some reason this is wrong.

just for kicks I also tried

ρ[itex]_{u}[/itex]= 16 cm/52 cm * 1 cm[itex]^{3}[/itex]/mL = .31 cm[itex]^{3}[/itex]/mL

but this is also wrong.

any ideas?