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?

 

[haruspex]

Yes, that's the right logic.

 

[coldsteel]

so 2cm is the correct answer?

 

[haruspex]

so 2cm is the correct answer?

Yes.