Find the radius $ r $ of a cone if height $h = 6$ and volume $V = 678.24$.
Answer
$r = 10.3897$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 678.24 $ and $ h = 6 $ we have:
$$ 678.24 = \dfrac{ r ^{ 2 } \cdot 6 \cdot \pi}{ 3 } $$$$ 678.24 \cdot 3 = r ^{ 2 } \cdot 6 \cdot \pi $$$$ 2034.72 = 6 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 2034.72}{ 6 \, \pi } $$$$ r ^{ 2 } = 107.9452 $$$$ r = \sqrt{ 107.9452 } $$$$ r = 10.3897 $$This page was created using
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