Find the radius $ r $ of a cone if height $h = 14$ and volume $V = 1186.92$.
Answer
$r = 8.9977$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 1186.92 $ and $ h = 14 $ we have:
$$ 1186.92 = \dfrac{ r ^{ 2 } \cdot 14 \cdot \pi}{ 3 } $$$$ 1186.92 \cdot 3 = r ^{ 2 } \cdot 14 \cdot \pi $$$$ 3560.76 = 14 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 3560.76}{ 14 \, \pi } $$$$ r ^{ 2 } = 80.9589 $$$$ r = \sqrt{ 80.9589 } $$$$ r = 8.9977 $$This page was created using
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