To find height $ h $ use formula:

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

After substituting $V = 3721.2014\, \text{cm}$ and $r = 13.4\, \text{cm}$ we have:

$$ 3721.2014\, \text{cm} = \dfrac{ h ^{ 2 } \cdot \left( 13.4\, \text{cm} \right)^{4} \cdot \pi}{ 3 } $$$$ 3721.2014\, \text{cm} \cdot 3 = h ^{ 2 } \cdot \left( 13.4\, \text{cm} \right)^{4} \cdot \pi $$$$ 11163.6043\, \text{cm} = 13.4\, \text{cm} \cdot h ^{ 2 } \cdot \pi $$$$ h ^{ 2 } = \dfrac{ 11163.6043\, \text{cm}}{ 13.4\, \text{cm} \, \pi } $$$$ h ^{ 2 } \approx 265.1849 $$$$ h \approx \sqrt{ 265.1849 } $$$$ h \approx 16.2845 $$

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