Detailed Instructions: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
Q: Problem: rain is falling at a rate of 3 centimeters per hour all over springfield . somewhere downtown in springfield a group of pigeons is waiting for the rain to stop . if the rain filled a round puddle the with a base area of 350 square centimeters and a depth of 13.5 centimeters , how long did the pigeons wait for the rain to stop ? 
Options: ['a ) 3 hours and 12 minutes .', 'b ) four hours and 30 minutes', 'c ) four hours and 45 minutes', 'd ) five hours and 10 minutes', 'e ) five hours and 30 minutes']
A:
b