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Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

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

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

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.