Find the radius $ r $ of a cone if height $h = 9$ and volume $V = 235.5$.
Answer
$r = 4.9987$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 235.5 $ and $ h = 9 $ we have:
$$ 235.5 = \dfrac{ r ^{ 2 } \cdot 9 \cdot \pi}{ 3 } $$$$ 235.5 \cdot 3 = r ^{ 2 } \cdot 9 \cdot \pi $$$$ 706.5 = 9 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 706.5}{ 9 \, \pi } $$$$ r ^{ 2 } = 24.9873 $$$$ r = \sqrt{ 24.9873 } $$$$ r = 4.9987 $$This page was created using
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