STEP 1: Transform all variables to millimeters.

$$ d = 1\, \text{in} = 1 \cdot \left( 25.4 \text{ mm}\right) = 25.4\, \text{mm} $$$$ h = 2\, \text{mm} $$

STEP 2: find radius $ r $

To find radius $ r $ use formula:

$$ d = 2 \cdot r $$

After substituting $d = 25.4\, \text{mm}$ we have:

$$ 25.4\, \text{mm} = 2 \cdot r $$ $$ r = \dfrac{ 25.4\, \text{mm} }{ 2 } $$ $$ r = 12.7\, \text{mm} $$

STEP 3: find volume $ V $

To find volume $ V $ use formula:

$$ V = h ^{ 2 } \cdot r \cdot \pi$$

After substituting $r = 12.7\, \text{mm}$ and $h = 2\, \text{mm}$ we have:

$$ V = 2\, \text{mm} ^{ 2 } \cdot 12.7\, \text{mm} \cdot \pi$$$$ V = 4\, \text{mm}^2 \cdot 12.7\, \text{mm} \cdot \pi $$$$ V = 50.8\pi\, \text{mm}^3 $$

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