Prove; P=hdg(Height, density, gravity)
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We know that,
Pressure (P) = Force (F) /Area(A) [ General formula of Pressure ]
= (m x g) / A [ Force = mass(m) * acceleration due to gravity(g)]
= (d xvx g)/A [ mass(m) = density(d) * volume(v) from the formula: d=m/v ]
= (dx A x h xg) / A [volume(v) = Base area (A)* height(h) ]
= d * h xg [Area on the numerator and denominator get canceled out]
= hdg [ Rewriting the above expression ]
Therefore, P = hdg #proved
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Explanation:
P = Force/area
P = Mg/A
P = Density × Volume × g/Area
P = Density × Area of cross-section × Height × g/ Area
Area gets cancelled
P = Density × Height × g
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