2002 Cayley Problem 20

Two cylindrical tanks sit side by side on a level surface. The first tank has a radius of 4 metres, a height of 10 metres, and is full of water. The second tank has a radius of 6 metres, a height of 8 metres, and is empty. Water is pumped from the first tank to the second until the depth of water in both tanks is the same. The depth of water in each tank, in metres, is

\textbf{(A)}\ 4\quad \textbf{(B)}\ 5\quad \textbf{(C)}\ \frac{46}{15}\quad \textbf{(D)}\ \frac{52}{17}\quad \textbf{(E)}\ \frac{40}{13}

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

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.