Finding pressure due to a fluid

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    Fluid Pressure
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To find the pressure at the bottom of a test tube containing 2.5 cm of oil and 6.5 cm of water, the pressure exerted by each liquid must be calculated separately using the formula P=ρgh. The density of the oil is 0.81 g/cm³, and the density of water is 1000 kg/m³, requiring unit conversions for consistency. The pressure from the oil contributes to the total pressure at the bottom, followed by the pressure from the water. The total pressure is the sum of the pressures from both liquids, considering the height and density of each. This problem emphasizes the importance of correct unit conversions and understanding gauge pressure.
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Homework Statement



A test tube standing vertically in a test-tube rack contains 2.5 cm of oil (ρ=0.81 g/cm3) and 6.5 cm of water. What is the pressure exerted by the two liquids on the bottom of the test tube?

Homework Equations



P=ρgh
ρ=density of a fluid=mass/volume
g=gravity

P=F/A

The Attempt at a Solution



I don't know how to start this problem. I think I'm supposed to be using density of a fluid, I'm not sure. If that's the case, I know density of water=1000 kg/m^3
 
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You should notice that the unit for the height of the oil is cm and the density is g/cm^3. Make sure your units are correct for the density of water. Keep in mind your equation for pressure P=ρgh is gauge pressure (relative to the pressure exerted on the top surface). How much pressure is exerted on the water by the oil. Then how much pressure does the water add to the bottom of the test tube?
 
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