To find volume $ V $ use formula:
$$ V = \dfrac{ h ^{ 2 } \cdot r \cdot \pi}{ 3 } $$After substituting $r = 8\, \text{cm}$ and $h = 16\, \text{cm}$ we have:
$$ V = \dfrac{ 256\, \text{cm}^2 \cdot 8\, \text{cm} \cdot \pi}{ 3 }$$$$ V = \dfrac{ 2048\, \text{cm}^3 \, \pi}{ 3 } $$$$ V = \frac{ 2048 }{ 3 }\pi\, \text{cm}^3 $$