Find the radius $ r $ of a cone if height $h = 15$ and volume $V = 1004.8$.
Answer
$r = 7.998$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 1004.8 $ and $ h = 15 $ we have:
$$ 1004.8 = \dfrac{ r ^{ 2 } \cdot 15 \cdot \pi}{ 3 } $$$$ 1004.8 \cdot 3 = r ^{ 2 } \cdot 15 \cdot \pi $$$$ 3014.4 = 15 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 3014.4}{ 15 \, \pi } $$$$ r ^{ 2 } = 63.9676 $$$$ r = \sqrt{ 63.9676 } $$$$ r = 7.998 $$This page was created using
Cone Calculator