A trough oflength L has a cross section in the shape of a semicircle with radius r. (See
Chapter 2, Problem 15(choose chapter or problem)
A trough oflength L has a cross section in the shape of a semicircle with radius r. (See the accompanying figure.) When filled with water to within a distance h of the top, the volume V of water is V = L [O.Snr2 -r 2 arcsin(///r) - hir2 - h 2 ) i/2] .
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