To find radius $ r $ use formula:

$$ V = \dfrac{ 4 \cdot r^3 \cdot \pi }{ 3 }$$

After substituting $V = 22.4615\, \text{cm}$ we have:

$$ 22.4615\, \text{cm} = \dfrac{ 4 \cdot r^3 \cdot \pi }{ 3 }$$ $$ 22.4615\, \text{cm} \cdot 3 = 4 \cdot r^3 \cdot \pi $$ $$ 67.3845\, \text{cm} = 4 \cdot r^3 \cdot \pi $$ $$ r^3 \cdot \pi = \dfrac{ 67.3845\, \text{cm} }{ 4 } $$ $$ r^3 \cdot \pi = 16.8461\, \text{cm} $$ $$ r = \sqrt[3]{ \frac{ 16.8461\, \text{cm} }{\pi} } $$ $$ r \approx 1.7503 $$

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