Question

Prove; P=hdg(Height, density, gravity)

Answer 1

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

Answer 2

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