STEP 1: find radius $ r $

To find radius $ r $ use formula:

After substituting $AB = 22\, \text{cm}$ we have:

$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 22\, \text{cm} $$ $$ r = \sqrt{ \frac{ 22\, \text{cm} }{\pi} } $$ $$ r \approx 2.6463 $$

STEP 2: find height $ h $

To find height $ h $ use formula:

$$ V = \dfrac{ h ^{ 2 } \cdot r \cdot \pi}{ 3 } $$

After substituting $V = 198\, \text{cm}$ and $r = 2.6463\, \text{cm}^0$ we have:

$$ 198\, \text{cm} = \dfrac{ h ^{ 2 } \cdot 2.6463 \cdot \pi}{ 3 } $$$$ 198\, \text{cm} \cdot 3 = h ^{ 2 } \cdot 2.6463 \cdot \pi $$$$ 594\, \text{cm} = 2.6463 \cdot h ^{ 2 } \cdot \pi $$$$ h ^{ 2 } = \dfrac{ 594\, \text{cm}}{ 2.6463 \, \pi } $$$$ h ^{ 2 } \approx 71.4496\, \text{cm} $$$$ h \approx \sqrt{ 71.4496\, \text{cm} } $$$$ h \approx 8.4528 $$

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