Consider the initially full hemispherical water tank of Example 8, except that the radius...

Consider the initially full hemispherical water tank of Example 8, except that the radius r of its circular bottom hole is now unknown. At 1 P.M. the bottom hole is opened and at 1:30 P.M. the deoth of water in the tank is 2 ft. (a) Use Torricelli’s law in the form (taking constriction into account) to determine when the tank will be empty, (b) What is the radius of the bottom hole?