2021 AMC 10B Problem 10

An inverted cone with base radius 12 \text{cm} and height 18\text{cm} is full of water. The water is poured into a tall cylinder whose horizontal base has a radius of 24\text{cm}. What is the height in centimeters of the water in the cylinder?

\textbf{(A) }1.5 \qquad \textbf{(B) }3 \qquad \textbf{(C) }4 \qquad \textbf{(D) }4.5 \qquad \textbf{(E) }6

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.