The figure below shows a cylindrical container with an outlet valve. The cylinder is filled with water until the water level is a distance L = 20 cm from the top. A vibrating tuning fork is placed near the top of the cylinder and the valve is opened so that the length L slowly increases. If the tuning fork has a frequency of f = 500 Hz, determine the next two values of L (in m) that correspond to a resonant mode. (Assume that the speed of sound in air is 343 m/s.) Valve first length m second length m