An arc PQ of a circle, centre O, subtends an angle of 2 radians at the centre. This sector is folded to form a right circular cone so that the arc PQ becomes the circumference of the base. Find the height of the cone.

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.