Find the radius $ r $ of a cone if height $h = 6$ and volume $V = 25$.
Answer
$r = 4.886$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 25 $ and $ h = 6 $ we have:
$$ 25 = \dfrac{ r ^{ 2 } \cdot 6 \cdot \pi}{ 3 } $$$$ 25 \cdot 3 = r ^{ 2 } \cdot 6 \cdot \pi $$$$ 75 = 6 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 75}{ 6 \, \pi } $$$$ r ^{ 2 } = 23.8733 $$$$ r = \sqrt{ 23.8733 } $$$$ r = 4.886 $$This page was created using
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