Question
Find the diameter $ d $ of a sphere if area $A = 800\, \text{cm}$.
Answer
$15.9577$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ A = 4 \cdot r^2 \cdot \pi $$After substituting $A = 800\, \text{cm}$ we have:
$$ 800\, \text{cm} = 4 \cdot r^2 \cdot \pi $$ $$ r^2 \cdot \pi = \dfrac{ 800\, \text{cm} }{ 4 } $$ $$ r^2 \cdot \pi = 200\, \text{cm} $$ $$ r = \sqrt{ \frac{ 200\, \text{cm} }{\pi} } $$ $$ r \approx 7.9788 $$STEP 2: find diameter $ d $
To find diameter $ d $ use formula:
$$ d = 2 \cdot r $$After substituting $r = 7.9788\, \text{cm}^0$ we have:
$$ d = 2 \cdot 7.9788 $$ $$ d \approx 15.9577 $$This page was created using
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