Find the volume $ V $ of a pyramid if height $h = 12$ and base radius $r = 10$.
Answer
$V = 1600$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ r = \dfrac{ a }{ 2 } $$After substituting $ r = 10 $ we have:
$$ 10 = \dfrac{ a }{ 2 } $$ $$ a = 10 \cdot 2 $$ $$ a = 20 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = 20 $ and $ h = 12 $ we have:
$$ V = \dfrac{ 400 \cdot 12 }{ 3 }$$$$ V = \dfrac{ 4800 }{ 3 } $$$$ V = 1600 $$This page was created using
Pyramid Calculator