# Height of oil of above water U cylinders

#### coldsteel

An open U shaped tube is initially partially filled with water (ρ=1000 kg/m^3). A 10 cm high column of oil (ρ=800 kg/m^3) is poured into the right side of the tube. What is the height of the oil above the water?

I set the water and oil equal to each other. (800)(10)(9.8)=(1000)(H)(9.8)

Using that equation I solved for H to get 8 cm. I then took 10cm the height of oil - the 8 cm from the water to get 2cm. Is this correct?

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#### haruspex

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Yes, that's the right logic.

#### coldsteel

so 2cm is the correct answer?

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