Find the height $ h $ of a cone if radius $r = 5.13$ and volume $V = 98$.
Answer
$h = 3.556$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 98 $ and $ r = 5.13 $ we have:
$$ 98 = \dfrac{ 5.13 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 98 \cdot 3 = 5.13 ^{ 2 } \cdot h \cdot \pi $$$$ 294 = 26.3169 \cdot h \cdot \pi $$$$ h = \dfrac{ 294 }{ 26.3169 \, \pi} $$$$ h = 3.556 $$This page was created using
Cone Calculator