A laboratory has \(2000\) bacteria in a sample. The number of bacteria increases by \(50\%\) every hour (compounded hourly).
(i) Find the total bacterial population after \(3\) hours?
(ii) How many bacteria are added to the sample specifically during the third hour?
(iii) Determine the percentage does the original bacterial population increased after \(2\) hours?
(iv) Between which two hours will the total population first exceed \(10000\) bacteria?