(i) Marbles of diameter \( 10 \mathrm{~mm} \) are to be put in a square area of side \( 40 \math...

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(i) Marbles of diameter \( 10 \mathrm{~mm} \) are to be put in a square area of side \( 40 \mathrm{~mm} \) so that their centres are within this area.
(ii) Find the maximum number of marbles per unit area and deduce an expression for calculating it. 
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