In an adjustable nozzle for a garden hose, a cylindrical plug is aligned in the direction of the hose and can be inserted into the hose opening. The use of the plug is to change the speed of the water leaving the hose. The speed of the water passing around the plug is to be 5.59 times larger as compared to the speed of the water before it encounters he plug. Compute the ratio of the plug radius to the inside hose radius.