Find the area $ A $ of a sphere if diameter $d = 100$.
Answer
$A = 10000\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 100 $ we have:
$$ 100 = 2 \cdot r $$ $$ r = \dfrac{ 100 }{ 2 } $$ $$ r = 50 $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = 4 \cdot r^2 \cdot \pi $$After substituting $ r = 50 $ we have:
$$ A = 4 \cdot 50^2 \cdot \pi $$ $$ A = 10000 \cdot \pi $$ $$ A = 10000 \cdot \pi $$This page was created using
Sphere Calculator