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Machine \(A\) is made up of a rectangular box filled with \(x\) cylinders of ball bearings placed together such that the

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by Vincen » Fri Dec 10, 2021 4:21 am

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Machine \(A\) is made up of a rectangular box filled with \(x\) cylinders of ball bearings placed together such that the diameter of the bearings and the cylinders are equal, and the cylinders line up evenly, touching, with no extra room inside the box. If the cylinders are the same height as the box, and the box is \(18\) inches long and \(10\) inches wide, what’s the value of \(x?\)

(1) \(9\) cylinders can line up along the length of the box.
(2) Each ball bearing has a radius of \(1.\)

Answer: D

Source: Veritas Prep
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