Find the radius $ r $ of a sphere if volume $V = 36\pi$.
Answer
$r = 3 \sqrt{ 3 }$
Explanation
To find radius $ r $ use formula:
$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$After substituting $ V = 36\pi $ we have:
$$ 36\pi = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$ $$ 36\pi \cdot 3 = 4 \cdot r^2 \cdot \pi $$ $$ 108\pi = 4 \cdot r^2 \cdot \pi $$ $$ r^2 \cdot \pi = \dfrac{ 108\pi }{ 4 } $$ $$ r^2 \cdot \pi = 27\pi $$ $$ r^2 = 27 $$ $$ r = \sqrt{ 27 } $$ $$ r = 3 \sqrt{ 3 } $$This page was created using
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