Find the radius $ r $ of a sphere if volume $V = 4$.
Answer
$r = 0.9772$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$After substituting $ V = 4 $ we have:
$$ 4 = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$ $$ 4 \cdot 3 = 4 \cdot r^2 \cdot \pi $$ $$ 12 = 4 \cdot r^2 \cdot \pi $$ $$ r^2 \cdot \pi = \dfrac{ 12 }{ 4 } $$ $$ r^2 \cdot \pi = 3 $$ $$ r = \sqrt{ \frac{ 3 }{\pi} } $$ $$ r \approx 0.9772 $$This page was created using
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