Find the volume $ V $ of a sphere if radius $r = \frac{ 1 }{ 2 }$.
Answer
$V = \frac{ 1 }{ 3 }\pi$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi}{ 3 } $$After substituting $ r = \frac{ 1 }{ 2 } $ we have:
$$ V = \dfrac{ 4 \cdot \left(\frac{ 1 }{ 2 }\right)^2 \cdot \pi}{ 3 } $$ $$ V = \dfrac{ 4 \cdot \frac{ 1 }{ 4 } \cdot \pi}{ 3 }$$ $$ V = \dfrac{ 1 \cdot \pi}{ 3 }$$ $$ V = \frac{ 1 }{ 3 } \cdot \pi $$This page was created using
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