Question
Find the volume $ V $ of a cylinder if diameter $d = 14\, \text{mm}$ and height $h = 5\, \text{mm}$.
Answer
$175\pi\, \text{mm}^3$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $d = 14\, \text{mm}$ we have:
$$ 14\, \text{mm} = 2 \cdot r $$ $$ r = \dfrac{ 14\, \text{mm} }{ 2 } $$ $$ r = 7\, \text{mm} $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = h ^{ 2 } \cdot r \cdot \pi$$After substituting $r = 7\, \text{mm}$ and $h = 5\, \text{mm}$ we have:
$$ V = 5\, \text{mm} ^{ 2 } \cdot 7\, \text{mm} \cdot \pi$$$$ V = 25\, \text{mm}^2 \cdot 7\, \text{mm} \cdot \pi $$$$ V = 175\pi\, \text{mm}^3 $$This page was created using
Cylinder Calculator