Answer:
[tex]radius = 17 \: inches[/tex]
Step-by-step explanation:
[tex]volume \: of \: a \: cylinder = \pi \times {r}^{2} \times h \\ \\ r = radius \\ h = height =1 \: inch \\ \\ volume \: of \: cylinder = 289\pi {in}^{3} \\ 289\pi = \pi \times {r}^{2} \times 1 \\ 289 = {r}^{2} \\ r = \sqrt{289} \\ r = 17 \: inches[/tex]
