3. As shown in the figure, a container has a vertical tube, whose inner radius is 32.00 mm, connected to it at its side. An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B. The liquid supports a 20.0-cm high column of oil, between levels B and C, whose density is 460 kg/m3. What is the density of the unknown liquid? 20.0 cm J30 cm V prms of unequal areas,

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

As shown in the figure, a container has a vertical tube with an inner radius of 32.00 mm, connected to it at its side. An unknown liquid reaches level A in the container and level B in the tube—level A being 5.0 cm higher than level B. The liquid supports a 20.0-cm high column of oil between levels B and C, whose density is 460 kg/m³. What is the density of the unknown liquid?

**Diagram Explanation:**

The diagram depicts a cross-section of a container connected to a vertical tube:

- **Left Section:** A section of the container filled with an unknown liquid.
  - **Level A:** The liquid level in the container.

- **Right Section:** The vertical tube connected to the container.
  - **Level B:** The liquid level in the tube, 5.0 cm below level A.
  - **Level C:** The top of the oil column, 20.0 cm above level B.

In this setup, the oil column has a known density of 460 kg/m³, exerting pressure downward due to gravity. We need to determine the density of the unknown liquid, considering the pressure equilibrium between the liquid and the oil column.
Transcribed Image Text:**Problem Statement:** As shown in the figure, a container has a vertical tube with an inner radius of 32.00 mm, connected to it at its side. An unknown liquid reaches level A in the container and level B in the tube—level A being 5.0 cm higher than level B. The liquid supports a 20.0-cm high column of oil between levels B and C, whose density is 460 kg/m³. What is the density of the unknown liquid? **Diagram Explanation:** The diagram depicts a cross-section of a container connected to a vertical tube: - **Left Section:** A section of the container filled with an unknown liquid. - **Level A:** The liquid level in the container. - **Right Section:** The vertical tube connected to the container. - **Level B:** The liquid level in the tube, 5.0 cm below level A. - **Level C:** The top of the oil column, 20.0 cm above level B. In this setup, the oil column has a known density of 460 kg/m³, exerting pressure downward due to gravity. We need to determine the density of the unknown liquid, considering the pressure equilibrium between the liquid and the oil column.
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