Find the height $ h $ of a cone if radius $r = 12$ and volume $V = 400$.
Answer
$h = 2.6526$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 400 $ and $ r = 12 $ we have:
$$ 400 = \dfrac{ 12 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 400 \cdot 3 = 12 ^{ 2 } \cdot h \cdot \pi $$$$ 1200 = 144 \cdot h \cdot \pi $$$$ h = \dfrac{ 1200 }{ 144 \, \pi} $$$$ h = 2.6526 $$This page was created using
Cone Calculator