A tank in the form of a right-circular cylinder standing on end is leaking water through a hole in its bottom. When friction is ignored, the rate of change of the height of the water in the tank is given by this equation:

() = ²(64.3)

where is the height of the water in feet, is the time in seconds, and is the ratio of the hole diameter to the tank diameter.

Part A: Solve the Initial Value Problem when = 0.1 and (0) = 6.

Part B: Given the IVP in Part A, how long will it take the tank to drain completely?