A microbiologist inoculates a growth medium with 150 bacterial cells/ml.

A microbiologist inoculates a growth medium with 150 bacterial cells/ml. If the generation time of the species is 3 hours,
(a) how many generations will it take for the culture to contain more than 9,500 cells/ml?
(b) how long, in hours, will it be before the culture contains more than 9,500 cells/ml? Show your calculations.