Find the volume $ V $ of a cylinder if diameter $d = 11$ and height $h = 12$.
Answer
$V = 363\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 11 $ we have:
$$ 11 = 2 \cdot r $$ $$ r = \dfrac{ 11 }{ 2 } $$ $$ r = \frac{ 11 }{ 2 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = r ^{ 2 } \cdot h \cdot \pi$$After substituting $ r = \frac{ 11 }{ 2 } $ and $ h = 12 $ we have:
$$ V = \frac{ 11 }{ 2 } ^{ 2 } \cdot 12 \cdot \pi$$$$ V = \frac{ 121 }{ 4 } \cdot 12 \cdot \pi $$$$ V = 363\pi $$This page was created using
Cylinder Calculator