Find the volume $ V $ of a sphere if diameter $d = 20$.
Answer
$V = \frac{ 400 }{ 3 }\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 20 $ we have:
$$ 20 = 2 \cdot r $$ $$ r = \dfrac{ 20 }{ 2 } $$ $$ r = 10 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi}{ 3 } $$After substituting $ r = 10 $ we have:
$$ V = \dfrac{ 4 \cdot 10^2 \cdot \pi}{ 3 } $$ $$ V = \dfrac{ 4 \cdot 100 \cdot \pi}{ 3 }$$ $$ V = \dfrac{ 400 \cdot \pi}{ 3 }$$ $$ V = \frac{ 400 }{ 3 } \cdot \pi $$This page was created using
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