A hollow cube of internal edge \( 22 \mathrm{~cm} \) is filled with spherical marbles of diamete...

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A hollow cube of internal edge \( 22 \mathrm{~cm} \) is filled with spherical marbles of diameter \( 0.5 \mathrm{~cm} \) and it is assumed that \( 1 / 8 \) th space of the cube remains unfilled, then find the number of marbles that can be accommodated in the cube.
a. 142296
b. 142396
c. 142496
d. 142596
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