Find the radius $ r $ of a cone if height $h = 10$ and volume $V = 512.87$.
Answer
$r = 6.9982$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 512.87 $ and $ h = 10 $ we have:
$$ 512.87 = \dfrac{ r ^{ 2 } \cdot 10 \cdot \pi}{ 3 } $$$$ 512.87 \cdot 3 = r ^{ 2 } \cdot 10 \cdot \pi $$$$ 1538.61 = 10 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 1538.61}{ 10 \, \pi } $$$$ r ^{ 2 } = 48.9755 $$$$ r = \sqrt{ 48.9755 } $$$$ r = 6.9982 $$This page was created using
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