Find the height $ h $ of a cone if radius $r = 9$ and volume $V = 3052$.
Answer
$h = 35.9808$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 3052 $ and $ r = 9 $ we have:
$$ 3052 = \dfrac{ 9 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 3052 \cdot 3 = 9 ^{ 2 } \cdot h \cdot \pi $$$$ 9156 = 81 \cdot h \cdot \pi $$$$ h = \dfrac{ 9156 }{ 81 \, \pi} $$$$ h = 35.9808 $$This page was created using
Cone Calculator