Outflow of water occurs from a cylindrical tank with a hole at the bottom. Find the height of the water in the tank at any time if the tank has a diameter 2 m, the hole has diameter 1 cm, and the initial height of the water when the hole is opened is 2.25 m. When will the tank be empty? Under the influence of gravity, the outflowing water has velocity, v(t) = 0.600 ? ( ) ,where h(t) is the height of the water above the hole at time t, and g = 980 cm/sec2 = 32.17 ft/sec2 is the acceleration of gravity at the surface of the earth.