Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 2.1 Junior Find the answer

A cylindrical oil tank, lying horizontally, has an interior length of $10$ feet and an interior diameter of $6$ feet.
If the rectangular surface of the oil has an area of $40$ square feet, the depth of the oil is:

Pick one

Solution

In order to complete the rectangle area of the oil tank, the chord on the circle must have a length of $4$ . Since it's not the diameter $6$ , there are two possible outcomes. The only choice that reflects this is $\boxed{\textbf{(E)}}$ .

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.