Find the radius $ r $ of a sphere if volume $V = 22.4615$.
Answer
$r = 2.3157$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$After substituting $ V = 22.4615 $ we have:
$$ 22.4615 = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$ $$ 22.4615 \cdot 3 = 4 \cdot r^2 \cdot \pi $$ $$ 67.3845 = 4 \cdot r^2 \cdot \pi $$ $$ r^2 \cdot \pi = \dfrac{ 67.3845 }{ 4 } $$ $$ r^2 \cdot \pi = 16.8461 $$ $$ r = \sqrt{ \frac{ 16.8461 }{\pi} } $$ $$ r \approx 2.3157 $$This page was created using
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