AMC 8 2019 Problem 9

Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are $6$ cm in diameter and $12$ cm high. Felicia buys cat food in cylindrical cans that are $12$ cm in diameter and $6$ cm high. What is the ratio of the volume of one of Alex's cans to the volume of one of Felicia's cans? $\textbf{(A) }1:4 \textbf{(B) }1:2 \textbf{(C) }1:1 \textbf{(D) }2:1 \textbf{(E) }4:1$