Find the height $ h $ of a cone if radius $r = 5$ and volume $V = 100$.
Answer
$h = 3.8197$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 100 $ and $ r = 5 $ we have:
$$ 100 = \dfrac{ 5 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 100 \cdot 3 = 5 ^{ 2 } \cdot h \cdot \pi $$$$ 300 = 25 \cdot h \cdot \pi $$$$ h = \dfrac{ 300 }{ 25 \, \pi} $$$$ h = 3.8197 $$This page was created using
Cone Calculator