Question
Find the volume $ V $ of a sphere if radius $r = 6.4\, \text{cm}$ and diameter $d = 12.8\, \text{cm}$.
Answer
$349.5253\pi\, \text{cm}^3$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ 4 \cdot r^3 \cdot \pi}{ 3 } $$After substituting $r = 6.4\, \text{cm}$ we have:
$$ V = \dfrac{ 4 \cdot \left( 6.4\, \text{cm} \right)^{3} \cdot \pi}{ 3 } $$ $$ V = \dfrac{ 4 \cdot 262.144\, \text{cm}^3 \cdot \pi}{ 3 }$$ $$ V = \dfrac{ 1048.576\, \text{cm}^3 \cdot \pi}{ 3 }$$ $$ V = 349.5253\, \text{cm}^3 \cdot \pi $$This page was created using
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