To find the density of an object, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
In this case, the mass of the billiard ball is 250 g and the volume is 100 cm³. Plugging in these values:
\[
\text{Density} = \frac{250 \, \text{g}}{100 \, \text{cm}^3} = 2.5 \, \text{g/cm}^3
\]
Therefore, the density of the billiard ball is \( \mathbf{2.5 \, g/cm^3} \).