Question
Find the volume $ V $ of a cylinder if diameter $d = 10\, \text{cm}$ and height $h = 11\, \text{cm}$.
Answer
$605\pi\, \text{cm}^3$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $d = 10\, \text{cm}$ we have:
$$ 10\, \text{cm} = 2 \cdot r $$ $$ r = \dfrac{ 10\, \text{cm} }{ 2 } $$ $$ r = 5\, \text{cm} $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = h ^{ 2 } \cdot r \cdot \pi$$After substituting $r = 5\, \text{cm}$ and $h = 11\, \text{cm}$ we have:
$$ V = 11\, \text{cm} ^{ 2 } \cdot 5\, \text{cm} \cdot \pi$$$$ V = 121\, \text{cm}^2 \cdot 5\, \text{cm} \cdot \pi $$$$ V = 605\pi\, \text{cm}^3 $$This page was created using
Cylinder Calculator