Find the radius $ r $ of a cone if height $h = 5$ and volume $V = 16.5$.
Answer
$r = 1.7752$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 16.5 $ and $ h = 5 $ we have:
$$ 16.5 = \dfrac{ r ^{ 2 } \cdot 5 \cdot \pi}{ 3 } $$$$ 16.5 \cdot 3 = r ^{ 2 } \cdot 5 \cdot \pi $$$$ 49.5 = 5 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 49.5}{ 5 \, \pi } $$$$ r ^{ 2 } = 3.1513 $$$$ r = \sqrt{ 3.1513 } $$$$ r = 1.7752 $$This page was created using
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