Remember the order of hydrogen spectral series: Lyman (1), Balmer (2), Paschen (3), Brackett (4), Pfund (5). The radius scales with \(n^2\), so \(n=3\) means \(r \approx 9 \times r_1\). Since \(r_1 \approx 0.53 \text{ \AA}\), \(9 \times 0.53 \approx 4.77 \text{ \AA}\).