Why the roof and the walls of an auditorium are covered with sound-absorbing materials?
To reduce multiple reflections
Sound-absorbing materials decrease the intensity of the sound waves incident on them by absorbing their energy. So, the reflected sound waves have very less intensity and they are very hard to be heard by a listener. Thereby avoiding reverberations.
If the walls of the auditorium are not covered with sound-absorbing materials reverberations can occur. Reverberations cause sound persistence in the concert halls. So the roof and the walls are covered with sound absorbing materials to avoid multiple reflections.