Find the volume $ V $ of a cone if radius $r = 3$ and height $h = 2 \sqrt{ 3 }$.
Answer
$V = 6 \sqrt{ 3 }\pi$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = 3 $ and $ h = 2 \sqrt{ 3 } $ we have:
$$ V = \dfrac{ 9 \cdot 2 \sqrt{ 3 } \cdot \pi}{ 3 }$$$$ V = \dfrac{ 18 \sqrt{ 3 } \, \pi}{ 3 } $$$$ V = 6 \sqrt{ 3 }\pi $$This page was created using
Cone Calculator