Provided next are small-sphere statistics based on spheres whose diameter ranges from 2.0 mm down to 0.063 mm. The volume (V) is calculated using the formula V = 4/3 x ∏ x r³ (r = radius).

**Mini-sphere**: V = 4/3 x π x 0,0315 x 0,0315 x 0,0315 = 0,0001309 mm³

**Maxi-sphere**: V = 4/3 x π x 1 x 1 x 1 = 4,188 mm³

Mathematically, 31,993 mini spheres therefore have the same volume as a maxi sphere 2.0 mm in diameter. If the spaces between the mini spheres are also taken into account, about 20,000 such spheres would still fit into a maxi sphere.

In a cube with a side of 10 cm, the densest packing can be achieved by surrounding a sphere with 12 others in each case. A few trigonometric functions and Pythagoras' theorem can then be used to calculate the corresponding, maximum number of spheres the cube can hold.

The table below provides rounded values for different sphere diameters.

Diameter (in mm) | Number (rounded) | Contact points (total) | Pore width in (µm) |
---|---|---|---|

0,063 | 5,6 billion | 67 billion | 9,8 |

0,125 | 720 million | 8,5 billion | 19,3 |

0,25 | 90 million | 1 billion | 38,7 |

0,5 | 11,2 million | 134 billion | 77,4 |

1,0 | 1,4 million | 16 million | 155.0 |

2,0 | 172.000 | 2 million | 310.0 |