Engineering
Physics
Physical Quantities
SI Units
Liquid Pressure
Question
In three vessels having same base area (see figure) we put same volume of water. How will the pressure on the bottom of the vessel compare.
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Solution
Pressure at the bottom depends only on fluid density and height of the liquid column, given by P = ρgh. Since all vessels have the same base area and contain the same volume of water (same density), the height (h) determines the pressure.
Vessel 2 has the smallest cross-section, so it has the greatest height: h2 > h1 > h3. Therefore, the pressures follow the same order: P2 > P1 > P3.
Final Answer: p2 > p1 > p3