Marbles of diameter \( 10 \mathrm{~mm} \) each are to be arranged on a flat surface so that thei...
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Marbles of diameter \( 10 \mathrm{~mm} \) each are to be arranged on a flat surface so that their centres lie within the area enclosed by four lines of length each \( 40 \mathrm{~mm} \). Sketch the arrangement that will give the maximum number of marbles per unit area, that can be enclosed in this manner and deduce the expression to calculate it.
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