Find the radius $ r $ of a cone if height $h = 16$ and volume $V = 3786$.
Answer
$r = 60.1279$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 3786 $ and $ h = 16 $ we have:
$$ 3786 = \dfrac{ r ^{ 2 } \cdot 16 \cdot \pi}{ 3 } $$$$ 3786 \cdot 3 = r ^{ 2 } \cdot 16 \cdot \pi $$$$ 11358 = 16 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 11358}{ 16 \, \pi } $$$$ r ^{ 2 } = 3615.3667 $$$$ r = \sqrt{ 3615.3667 } $$$$ r = 60.1279 $$This page was created using
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