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SOLVED: Water flows from an inverted conical tank with a circular orifice at the rate dx/dt = 0.6Tr√(29A(x)), where r is the radius of the orifice, x is the height of the liquid level from the vertex of the cone, and A(x) is the area of the cross section of the tank x units above the orifice. Suppose r = 0.1 ft, g = 32.1 ft/s^2, and the tank has an initial water level of 8 ft and an initial volume of 512(7/3) ft^3. Use the Runge-Kutta method of order four to find the following:
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