Find the volume $ V $ of a sphere if diameter $d = 1$.

$V = \frac{ 1 }{ 3 }\pi$

STEP 1: find radius $ r $

To find radius $ r $ use formula:

$$ d = 2 \cdot r $$

After substituting $ d = 1 $ we have:

$$ 1 = 2 \cdot r $$ $$ r = \dfrac{ 1 }{ 2 } $$ $$ r = \frac{ 1 }{ 2 } $$

STEP 2: find volume $ V $

To find volume $ V $ use formula:

$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi}{ 3 } $$

After substituting $ r = \frac{ 1 }{ 2 } $ we have:

$$ V = \dfrac{ 4 \cdot \left(\frac{ 1 }{ 2 }\right)^2 \cdot \pi}{ 3 } $$ $$ V = \dfrac{ 4 \cdot \frac{ 1 }{ 4 } \cdot \pi}{ 3 }$$ $$ V = \dfrac{ 1 \cdot \pi}{ 3 }$$ $$ V = \frac{ 1 }{ 3 } \cdot \pi $$

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