Find the height $ h $ of a cone if radius $r = 8$ and volume $V = 1205.76$.
Answer
$h = 17.9909$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 1205.76 $ and $ r = 8 $ we have:
$$ 1205.76 = \dfrac{ 8 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 1205.76 \cdot 3 = 8 ^{ 2 } \cdot h \cdot \pi $$$$ 3617.28 = 64 \cdot h \cdot \pi $$$$ h = \dfrac{ 3617.28 }{ 64 \, \pi} $$$$ h = 17.9909 $$This page was created using
Cone Calculator