Question
Find the radius $ r $ of a sphere if area $A = 5554\, \text{mm}^3$.
Answer
$21.0231\, \text{mm}$
Explanation
To find radius $ r $ use formula:
$$ A = 4 \cdot r^2 \cdot \pi $$After substituting $A = 5554\, \text{mm}^3$ we have:
$$ 5554\, \text{mm}^3 = 4 \cdot r^2 \cdot \pi $$ $$ r^2 \cdot \pi = \dfrac{ 5554\, \text{mm}^3 }{ 4 } $$ $$ r^2 \cdot \pi = \frac{ 2777 }{ 2 }\, \text{mm}^3 $$ $$ r = \sqrt{ \frac{ \frac{ 2777 }{ 2 }\, \text{mm}^3 }{\pi} } $$ $$ r \approx 21.0231\, \text{mm} $$This page was created using
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