Find the diameter $ d $ of a cylinder if height $h = 7$ and volume $V = 175\pi$.
Answer
$d = 10$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ V = r ^{ 2 } \cdot h \cdot \pi$$After substituting $ V = 175\pi $ and $ h = 7 $ we have:
$$ 175\pi = 7 \cdot r ^{ 2 } \cdot \pi $$$$ r ^{ 2 } = \dfrac{ 175\pi}{ 7 \, \pi } $$$$ r ^{ 2 } = 25 $$$$ r = \sqrt{ 25 } $$$$ r = 5 $$STEP 2: find diameter $ d $
To find diameter $ d $ use formula:
$$ d = 2 \cdot r $$After substituting $ r = 5 $ we have:
$$ d = 2 \cdot 5 $$ $$ d = 10 $$This page was created using
Cylinder Calculator