To find volume $ V $ use formula:
$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi}{ 3 } $$After substituting $ r = 1 $ we have:
$$ V = \dfrac{ 4 \cdot 1^2 \cdot \pi}{ 3 } $$ $$ V = \dfrac{ 4 \cdot 1 \cdot \pi}{ 3 }$$ $$ V = \dfrac{ 4 \cdot \pi}{ 3 }$$ $$ V = \frac{ 4 }{ 3 } \cdot \pi $$