A spherical basketball is packed in a cubical box into which it fits exactly. What percent of the volume of the box is used up by the basketball?

*v*(box) = (2r)^{3} = 8*r*^{3}

*v*(sphere) = 4/3 *r*^{3}

The ratio | sphere | = | 4/3 r^{3} |
= | 4 | = | |

box | 8r^{3}
| 24 | 6 |

%: | = | x |
→ x ≈ 52.4%. | |

6 | 100 |