Question
Find the height $ h $ of a cylinder if radius $r = 3\, \text{cm}$ and volume $V = 197.9\, \text{cm}$.
Answer
$4.5823$
Explanation
To find height $ h $ use formula:
$$ V = h ^{ 2 } \cdot r \cdot \pi$$After substituting $V = 197.9\, \text{cm}$ and $r = 3\, \text{cm}$ we have:
$$ 197.9\, \text{cm} = 3\, \text{cm} \cdot h ^{ 2 } \cdot \pi $$$$ h ^{ 2 } = \dfrac{ 197.9\, \text{cm}}{ 3\, \text{cm} \, \pi } $$$$ h ^{ 2 } \approx 20.9978 $$$$ h \approx \sqrt{ 20.9978 } $$$$ h \approx 4.5823 $$This page was created using
Cylinder Calculator