Find the volume $ V $ of a cylinder if diameter $d = 15$ and height $h = 30$.
Answer
$V = \frac{ 3375 }{ 2 }\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 15 $ we have:
$$ 15 = 2 \cdot r $$ $$ r = \dfrac{ 15 }{ 2 } $$ $$ r = \frac{ 15 }{ 2 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = r ^{ 2 } \cdot h \cdot \pi$$After substituting $ r = \frac{ 15 }{ 2 } $ and $ h = 30 $ we have:
$$ V = \frac{ 15 }{ 2 } ^{ 2 } \cdot 30 \cdot \pi$$$$ V = \frac{ 225 }{ 4 } \cdot 30 \cdot \pi $$$$ V = \frac{ 3375 }{ 2 }\pi $$This page was created using
Cylinder Calculator