Question
Find the volume $ V $ of a cylinder if height $h = 5.6\, \text{cm}$ and base area $AB = 3.4\, \text{cm}$.
Answer
$32.6242\pi\, \text{cm}^2$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $AB = 3.4\, \text{cm}$ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 3.4\, \text{cm} $$ $$ r = \sqrt{ \frac{ 3.4\, \text{cm} }{\pi} } $$ $$ r \approx 1.0403 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = h ^{ 2 } \cdot r \cdot \pi$$After substituting $r = 1.0403\, \text{cm}^0$ and $h = 5.6\, \text{cm}$ we have:
$$ V = 5.6\, \text{cm} ^{ 2 } \cdot 1.0403 \cdot \pi$$$$ V = 31.36\, \text{cm}^2 \cdot 1.0403 \cdot \pi $$$$ V = 32.6242\pi\, \text{cm}^2 $$This page was created using
Cylinder Calculator