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