The container on the left in Figure P18.57 is a cube of side length \(h\). The dimensions of the container on the right are height \(h\), width \(h / 2\), and length \(h / 2\). Points A and \(\mathrm{A}^{\prime}\) are at height \(b / 2\), and points \(\mathrm{B}\) and \(\mathrm{B}^{\prime}\) are at the bottoms of the containers. Calculate the ratio of gauge pressures \(\left(P_{\mathrm{A}} / P_{\mathrm{B}}\right) /\left(P_{\mathrm{A}^{\prime}} / P_{\mathrm{B}^{\prime}}\right)\) if the left container is filled with water and the right container is filled with glycerol. The mass density of glycerol is \(1261 \mathrm{~kg} / \mathrm{m}^{3}\).

Data from Figure P18.57

Transcribed Image Text:

water glycerol b/2 h/2 B B' 1-b/2-1