Find the radius $ r $ of a cone if height $h = 17$ and volume $V = 2562.24$.
Answer
$r = 11.997$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 2562.24 $ and $ h = 17 $ we have:
$$ 2562.24 = \dfrac{ r ^{ 2 } \cdot 17 \cdot \pi}{ 3 } $$$$ 2562.24 \cdot 3 = r ^{ 2 } \cdot 17 \cdot \pi $$$$ 7686.72 = 17 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 7686.72}{ 17 \, \pi } $$$$ r ^{ 2 } = 143.927 $$$$ r = \sqrt{ 143.927 } $$$$ r = 11.997 $$This page was created using
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