Find the radius $ r $ of a cone if height $h = 19$ and volume $V = 4474.5$.
Answer
$r = 14.9962$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 4474.5 $ and $ h = 19 $ we have:
$$ 4474.5 = \dfrac{ r ^{ 2 } \cdot 19 \cdot \pi}{ 3 } $$$$ 4474.5 \cdot 3 = r ^{ 2 } \cdot 19 \cdot \pi $$$$ 13423.5 = 19 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 13423.5}{ 19 \, \pi } $$$$ r ^{ 2 } = 224.8859 $$$$ r = \sqrt{ 224.8859 } $$$$ r = 14.9962 $$This page was created using
Cone Calculator