2005 Fermat Problem 17

A cylinder with radius 2 cm and height 8 cm is full of water. A second cylinder of radius 4 cm and height 8 cm is empty. If all of the water is poured from the first cylinder into the second cylinder, the depth of the water in the second cylinder will be

\textbf{(A)}\ 1 \text{ cm}\quad \textbf{(B)}\ 2 \text{ cm}\quad \textbf{(C)}\ 3 \text{ cm}\quad \textbf{(D)}\ 4 \text{ cm}\quad \textbf{(E)}\ 6 \text{ cm}

If there are no answer choices shown, enter a numerical answer.

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