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A trough of length L has a cross section in the shape of a semicircle with radius r. When filled with water to within a distance h of the top. V =...

A trough of length L has a cross section in the shape of a semicircle with radius r. When filled with water to within a distance h of the top.V = L*[0.5*pi*r^2 - r^2*arcsin(h/r) - h(r^2 - h^2)^1/2]Suppose L = 10 ft, r = 1 ft, and V = 12.4 ft3. Find the depth of water in the bough to within 0.01 ft.

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