Find the height $ h $ of a cylinder if diameter $d = 15$ and volume $V = 5298.75$.
Answer
$h = 29.9848$
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 height $ h $
To find height $ h $ use formula:
$$ V = r ^{ 2 } \cdot h \cdot \pi $$After substituting $ V = 5298.75 $ and $ r = \frac{ 15 }{ 2 } $ we have:
$$ 5298.75 = \frac{ 225 }{ 4 } \cdot h \cdot \pi $$$$ h = \dfrac{ 5298.75 }{ \frac{ 225 }{ 4 } \, \pi} $$$$ h = 29.9848 $$This page was created using
Cylinder Calculator