Find the height $ h $ of a cone if radius $r = 3$ and volume $V = 65.94$.
Answer
$h = 6.9965$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 65.94 $ and $ r = 3 $ we have:
$$ 65.94 = \dfrac{ 3 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 65.94 \cdot 3 = 3 ^{ 2 } \cdot h \cdot \pi $$$$ 197.82 = 9 \cdot h \cdot \pi $$$$ h = \dfrac{ 197.82 }{ 9 \, \pi} $$$$ h = 6.9965 $$This page was created using
Cone Calculator