AMC 10 2021b Problem 10

An inverted cone with base radius $12 \mathrm{cm}$ and height $18 \mathrm{cm}$ is full of water. The water is poured into a tall cylinder whose horizontal base has radius of $24 \mathrm{cm}$. What is the height in centimeters of the water in the cylinder? $\textbf{(A)} ~1.5 \textbf{(B)} ~3 \textbf{(C)} ~4 \textbf{(D)} ~4.5 \textbf{(E)} ~6$