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A cylinder has a radius 10 cm. To what height should it be filled with water so that the thrust in its walls is equal to that on its bottom? |
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Answer» Let : ρ = density of waterh = height of water in cylinder= > Thrust at the bottom = F= > F = PRESSURE × AreaWe KNOW : Pressure = ρ H gArea = π r²= > Thrust on walls = Average pressure × Area= > F' = ( ρ h G / 2 ( 2 π r h ) When F = F' then= > ( ρ h g × π r² ) = π r ρ h² g [ h = r ] Therefore we get answer. |
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