Find the volume $ V $ of a cone if diameter $d = 6$ and height $h = 5$.
Answer
$V = 15\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 6 $ we have:
$$ 6 = 2 \cdot r $$ $$ r = \dfrac{ 6 }{ 2 } $$ $$ r = 3 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = 3 $ and $ h = 5 $ we have:
$$ V = \dfrac{ 9 \cdot 5 \cdot \pi}{ 3 }$$$$ V = \dfrac{ 45 \, \pi}{ 3 } $$$$ V = 15\pi $$This page was created using
Cone Calculator