Find the height $ h $ of a cone if radius $r = 6$ and volume $V = 120$.
Answer
$h = 3.1831$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 120 $ and $ r = 6 $ we have:
$$ 120 = \dfrac{ 6 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 120 \cdot 3 = 6 ^{ 2 } \cdot h \cdot \pi $$$$ 360 = 36 \cdot h \cdot \pi $$$$ h = \dfrac{ 360 }{ 36 \, \pi} $$$$ h = 3.1831 $$This page was created using
Cone Calculator