Problem 9 (2019 AMC 8)

Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are $6\text{ cm}$ in diameter and $12\text{ cm}$ high. Felicia buys cat food in cylindrical cans that are $12\text{ cm}$ in diameter and $6\text{ cm}$ high. What is the ratio of the volume of one of Alex's cans to the volume of one of Felicia's cans?