Question: Racquetball. The volume of rubber (in cubic centimeters) in a hollow rubber ball used in racquetball is given by

\[V=\frac{4}{3} \pi R^{3}-\frac{4}{3} \pi r^{3}\]

where the inside radius is \(r\) centimeters and the outside radius is \(R\) centimeters.

1. Rewrite the formula by factoring the right-hand side completely.
2. The accompanying graph shows the relationship between \(r\) and \(V\) when \(R=3\). Use the graph to estimate the value of \(r\) for which \(V=100 \mathrm{~cm}^{3}\).

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