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 = 8r3
v(sphere) = 4/3 
r3
| The ratio | sphere | = | 4/3 r3 |
= | 4 |
= | |
| box | 8r3 | 24 | 6 |
| %: | |
= | x | → x ≈ 52.4%. |
| 6 | 100 |