Find the radius $ r $ of a cone if height $h = 9$ and volume $V = 27$.
Answer
$r = 5.0777$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 27 $ and $ h = 9 $ we have:
$$ 27 = \dfrac{ r ^{ 2 } \cdot 9 \cdot \pi}{ 3 } $$$$ 27 \cdot 3 = r ^{ 2 } \cdot 9 \cdot \pi $$$$ 81 = 9 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 81}{ 9 \, \pi } $$$$ r ^{ 2 } = 25.7831 $$$$ r = \sqrt{ 25.7831 } $$$$ r = 5.0777 $$This page was created using
Cone Calculator