Find the radius $ r $ of a cone if height $h = 20$ and volume $V = 753.6$.
Answer
$r = 5.9985$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 753.6 $ and $ h = 20 $ we have:
$$ 753.6 = \dfrac{ r ^{ 2 } \cdot 20 \cdot \pi}{ 3 } $$$$ 753.6 \cdot 3 = r ^{ 2 } \cdot 20 \cdot \pi $$$$ 2260.8 = 20 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 2260.8}{ 20 \, \pi } $$$$ r ^{ 2 } = 35.9817 $$$$ r = \sqrt{ 35.9817 } $$$$ r = 5.9985 $$This page was created using
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