Find the height $ h $ of a cone if radius $r = 1$ and volume $V = 1.05$.
Answer
$h = 1.0027$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ V = 1.05 $ and $ r = 1 $ we have:
$$ 1.05 = \dfrac{ 1 ^{ 2 } \cdot h \cdot \pi}{ 3 } $$$$ 1.05 \cdot 3 = 1 ^{ 2 } \cdot h \cdot \pi $$$$ 3.15 = 1 \cdot h \cdot \pi $$$$ h = \dfrac{ 3.15 }{ 1 \, \pi} $$$$ h = 1.0027 $$This page was created using
Cone Calculator