Find the volume $ V $ of a cylinder if diameter $d = 3$ and height $h = 5$.
Answer
$V = \frac{ 45 }{ 4 }\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 3 $ we have:
$$ 3 = 2 \cdot r $$ $$ r = \dfrac{ 3 }{ 2 } $$ $$ r = \frac{ 3 }{ 2 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = r ^{ 2 } \cdot h \cdot \pi$$After substituting $ r = \frac{ 3 }{ 2 } $ and $ h = 5 $ we have:
$$ V = \frac{ 3 }{ 2 } ^{ 2 } \cdot 5 \cdot \pi$$$$ V = \frac{ 9 }{ 4 } \cdot 5 \cdot \pi $$$$ V = \frac{ 45 }{ 4 }\pi $$This page was created using
Cylinder Calculator