Find the volume $ V $ of a cone if diameter $d = 12$ and height $h = 10$.
Answer
$V = 120\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 12 $ we have:
$$ 12 = 2 \cdot r $$ $$ r = \dfrac{ 12 }{ 2 } $$ $$ r = 6 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = 6 $ and $ h = 10 $ we have:
$$ V = \dfrac{ 36 \cdot 10 \cdot \pi}{ 3 }$$$$ V = \dfrac{ 360 \, \pi}{ 3 } $$$$ V = 120\pi $$This page was created using
Cone Calculator