so Prove that presssure=p×d×g
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we know that,
P = F / A (general formula for pressure)
F = m × g ‐---------------(1)
m = d × v ------------------(2)
substitute (2) in (1) we get ,
F = d × v × g___________(3)
Using eq. (3) in general formula
P = d×v×g/ A
since, Volume = Area × Height
P = hdg
Hence Proved!!
Hopefully it will help you !!
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Answer:
We know that,
Pressure (P) = Force (F) /Area(A) [ General formula of Pressure ]
= (m × g) / A [ Force = mass(m) * acceleration due to gravity(g) ]
= (d × v × g) / A [ mass(m) = density(d) * volume(v) from the formula: d=m/v ]
= (d × A × h × g) / A [ volume(v) = Base area (A) * height(h) ]
= d × h × g [ Area on the numerator and denominator get canceled out ]
= hdg [ Rewriting the above expression ]
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