Find the height $ h $ of a cone if radius $r = 13.4$ and volume $V = 3721.2014$.
Answer
$h = 19.79$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 3721.2014 $ and $ r = 13.4 $ we have:
$$ 3721.2014 = \dfrac{ 13.4 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 3721.2014 \cdot 3 = 13.4 ^{ 2 } \cdot h \cdot \pi $$$$ 11163.6043 = 179.56 \cdot h \cdot \pi $$$$ h = \dfrac{ 11163.6043 }{ 179.56 \, \pi} $$$$ h = 19.79 $$This page was created using
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