STEP 1: find radius $ r $

To find radius $ r $ use formula:

$$ d = 2 \cdot r $$

After substituting $d = 3\, \text{cm}$ we have:

$$ 3\, \text{cm} = 2 \cdot r $$ $$ r = \dfrac{ 3\, \text{cm} }{ 2 } $$ $$ r = \frac{ 3 }{ 2 }\, \text{cm} $$

STEP 2: find volume $ V $

To find volume $ V $ use formula:

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

After substituting $r = \dfrac{ 3 }{ 2 }\, \text{cm}$ and $h = 5\, \text{cm}$ we have:

$$ V = 5\, \text{cm} ^{ 2 } \cdot \frac{ 3 }{ 2 }\, \text{cm} \cdot \pi$$$$ V = 25\, \text{cm}^2 \cdot \frac{ 3 }{ 2 }\, \text{cm} \cdot \pi $$$$ V = \frac{ 75 }{ 2 }\pi\, \text{cm}^3 $$

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