Question
Find the height $ h $ of a cylinder if radius $r = 5\, \text{cm}$ and volume $V = 549.5\, \text{cm}$.
Answer
$5.9146$
Explanation
To find height $ h $ use formula:
$$ V = h ^{ 2 } \cdot r \cdot \pi$$After substituting $V = 549.5\, \text{cm}$ and $r = 5\, \text{cm}$ we have:
$$ 549.5\, \text{cm} = 5\, \text{cm} \cdot h ^{ 2 } \cdot \pi $$$$ h ^{ 2 } = \dfrac{ 549.5\, \text{cm}}{ 5\, \text{cm} \, \pi } $$$$ h ^{ 2 } \approx 34.9822 $$$$ h \approx \sqrt{ 34.9822 } $$$$ h \approx 5.9146 $$This page was created using
Cylinder Calculator