The flow sheet shown below illustrates a conventional closed circuit grinding operation. The cyclone overflow line is instrumented with a magnetic flow meter and nuclear density gauge, and the mass of dry ore fed to flotation is $20$ t$/$h$.$ The feed from the fine ore bins is sampled, and is found to contain $8\%$ moisture. The cyclone feed contains $30\%$ solids, the cyclone underflow $60\%$ solids, and the overflow $20\%$ solids. Calculate the circulating load on the circuit and the amount of water required to dilute the ball mill discharge.