Question
Find the volume $ V $ of a sphere if radius $r = \frac{ 1 }{ 2 }\, \text{cm}$.
Answer
$\dfrac{ 1 }{ 6 }\pi\, \text{cm}^3$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ 4 \cdot r^3 \cdot \pi}{ 3 } $$After substituting $r = \dfrac{ 1 }{ 2 }\, \text{cm}$ we have:
$$ V = \dfrac{ 4 \cdot \left( \frac{ 1 }{ 2 }\, \text{cm} \right)^{3} \cdot \pi}{ 3 } $$ $$ V = \dfrac{ 4 \cdot \frac{ 1 }{ 8 }\, \text{cm}^3 \cdot \pi}{ 3 }$$ $$ V = \dfrac{ \frac{ 1 }{ 2 }\, \text{cm}^3 \cdot \pi}{ 3 }$$ $$ V = \frac{ 1 }{ 6 }\, \text{cm}^3 \cdot \pi $$This page was created using
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