Find the radius $ r $ of a cone if height $h = 15$ and volume $V = 3532.5$.
Answer
$r = 14.9962$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 3532.5 $ and $ h = 15 $ we have:
$$ 3532.5 = \dfrac{ r ^{ 2 } \cdot 15 \cdot \pi}{ 3 } $$$$ 3532.5 \cdot 3 = r ^{ 2 } \cdot 15 \cdot \pi $$$$ 10597.5 = 15 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 10597.5}{ 15 \, \pi } $$$$ r ^{ 2 } = 224.8859 $$$$ r = \sqrt{ 224.8859 } $$$$ r = 14.9962 $$This page was created using
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