To find radius $ r $ use formula:
$$ AL = 2 \cdot h \cdot r \cdot \pi $$After substituting $AL = 10\, \text{cm}$ and $h = 60\, \text{cm}$ we have:
$$ 10\, \text{cm} = 2 \cdot 60\, \text{cm} \cdot r \cdot \pi $$$$ 10\, \text{cm} = 120\, \text{cm} \cdot r \cdot \pi $$$$ r = \dfrac{ 10\, \text{cm} }{ 120\, \text{cm} \, \pi} $$$$ r = 0.0265 $$