Find the radius $ r $ of a cone if height $h = 21$ and volume $V = 448$.
Answer
$r = 20.6835$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 448 $ and $ h = 21 $ we have:
$$ 448 = \dfrac{ r ^{ 2 } \cdot 21 \cdot \pi}{ 3 } $$$$ 448 \cdot 3 = r ^{ 2 } \cdot 21 \cdot \pi $$$$ 1344 = 21 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 1344}{ 21 \, \pi } $$$$ r ^{ 2 } = 427.8088 $$$$ r = \sqrt{ 427.8088 } $$$$ r = 20.6835 $$This page was created using
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