Find the height $ h $ of a cone if radius $r = 17$ and volume $V = 5444.76$.
Answer
$h = 17.9909$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 5444.76 $ and $ r = 17 $ we have:
$$ 5444.76 = \dfrac{ 17 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 5444.76 \cdot 3 = 17 ^{ 2 } \cdot h \cdot \pi $$$$ 16334.28 = 289 \cdot h \cdot \pi $$$$ h = \dfrac{ 16334.28 }{ 289 \, \pi} $$$$ h = 17.9909 $$This page was created using
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