Find the volume $ V $ of a cylinder if height $h = 5.6$ and base area $AB = 3.4$.
Answer
$V = 6.0606\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $ AB = 3.4 $ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 3.4 $$ $$ r = \sqrt{ \frac{ 3.4 }{\pi} } $$ $$ r \approx 1.0403 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = r ^{ 2 } \cdot h \cdot \pi$$After substituting $ r = 1.0403 $ and $ h = 5.6 $ we have:
$$ V = 1.0403 ^{ 2 } \cdot 5.6 \cdot \pi$$$$ V = 1.0823 \cdot 5.6 \cdot \pi $$$$ V = 6.0606\pi $$This page was created using
Cylinder Calculator