Lets take a horizontal strip of width dh at depth h .
then length of that strip will be , L = 24 - [ (24-15)h/12 ]
L = 24 - 2h + 1.25h = 24 - 0.75h
Pressure at depth h, P = rho*g*h
Area = L dh = (24 - 0.75h)dh
Force of that strip = Pressure x area = rho*g*h(24 - 0.75h)dh
dF = rho*g*h(24 - 0.75h)dh .........Ans
where rho is density of water.
g = acc due to gravity
and h is from 0 to 12 feet.
F = rho*g [ 12h^2 - 0.25 h^3 ]
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