Find the volume $ V $ of a cone if diameter $d = 3$ and height $h = 6$.
Answer
$V = \frac{ 9 }{ 2 }\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 3 $ we have:
$$ 3 = 2 \cdot r $$ $$ r = \dfrac{ 3 }{ 2 } $$ $$ r = \frac{ 3 }{ 2 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ r ^{ 2 } \cdot h \cdot \pi}{ 3 } $$After substituting $ r = \frac{ 3 }{ 2 } $ and $ h = 6 $ we have:
$$ V = \dfrac{ \frac{ 9 }{ 4 } \cdot 6 \cdot \pi}{ 3 }$$$$ V = \dfrac{ \frac{ 27 }{ 2 } \, \pi}{ 3 } $$$$ V = \frac{ 9 }{ 2 }\pi $$This page was created using
Cone Calculator