Find the height $ h $ of a cone if radius $r = 4$ and volume $V = 150.72$.
Answer
$h = 8.9954$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 150.72 $ and $ r = 4 $ we have:
$$ 150.72 = \dfrac{ 4 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 150.72 \cdot 3 = 4 ^{ 2 } \cdot h \cdot \pi $$$$ 452.16 = 16 \cdot h \cdot \pi $$$$ h = \dfrac{ 452.16 }{ 16 \, \pi} $$$$ h = 8.9954 $$This page was created using
Cone Calculator