Find the radius $ r $ of a cone if height $h = 15$ and volume $V = 565.2$.
Answer
$r = 5.9985$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 565.2 $ and $ h = 15 $ we have:
$$ 565.2 = \dfrac{ r ^{ 2 } \cdot 15 \cdot \pi}{ 3 } $$$$ 565.2 \cdot 3 = r ^{ 2 } \cdot 15 \cdot \pi $$$$ 1695.6 = 15 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 1695.6}{ 15 \, \pi } $$$$ r ^{ 2 } = 35.9817 $$$$ r = \sqrt{ 35.9817 } $$$$ r = 5.9985 $$This page was created using
Cone Calculator