Find the radius $ r $ of a cone if height $h = 3$ and volume $V = 3.14$.
Answer
$r = 0.9997$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 3.14 $ and $ h = 3 $ we have:
$$ 3.14 = \dfrac{ r ^{ 2 } \cdot 3 \cdot \pi}{ 3 } $$$$ 3.14 \cdot 3 = r ^{ 2 } \cdot 3 \cdot \pi $$$$ 9.42 = 3 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 9.42}{ 3 \, \pi } $$$$ r ^{ 2 } = 0.9995 $$$$ r = \sqrt{ 0.9995 } $$$$ r = 0.9997 $$This page was created using
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