To find volume $ V $ use formula:
$$ V = \dfrac{ 4 \cdot r^3 \cdot \pi}{ 3 } $$After substituting $r = 6\, \text{cm}$ we have:
$$ V = \dfrac{ 4 \cdot \left( 6\, \text{cm} \right)^{3} \cdot \pi}{ 3 } $$ $$ V = \dfrac{ 4 \cdot 216\, \text{cm}^3 \cdot \pi}{ 3 }$$ $$ V = \dfrac{ 864\, \text{cm}^3 \cdot \pi}{ 3 }$$ $$ V = 288\, \text{cm}^3 \cdot \pi $$