After pouring some water into the U-tube of Figure P18.58, you pour a volume (V_{1}) of oil

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After pouring some water into the U-tube of Figure P18.58, you pour a volume \(V_{1}\) of oil of mass density \(ho_{1}=800 \mathrm{~kg} / \mathrm{m}^{3}\) into the left side of the tube and a volume \(V_{2}\) of oil of mass density \(ho_{2}=700 \mathrm{~kg} / \mathrm{m}^{3}\) into the right side. Once the two oils have been added, the levels on the left and right sides are the same, and the water level on the right side is a height \(h_{2}=20 \mathrm{~mm}\) higher than the water level on the left side. What is the height \(b_{1}\) of the oil on the left side?

Data from Figure P18.58

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