Find the radius $ r $ of a cone if area $A = 1507.9645$ and Curved Surface Area $CSA = 706.8583$.
Answer
$r = 15.9687$
Explanation
STEP 1: find base area $ AB $
To find base area $ AB $ use formula:
$$ A = AB + CSA $$After substituting $ A = 1507.9645 $ and $ CSA = 706.8583 $ we have:
$$ 1507.9645 = AB + 706.8583 $$ $$ 1507.9645 = AB + 706.8583 $$ $$ AB = 1507.9645 - 706.8583 $$ $$ AB = 801.1061 $$STEP 2: find radius $ r $
To find radius $ r $ use formula:
After substituting $ AB = 801.1061 $ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 801.1061 $$ $$ r = \sqrt{ \frac{ 801.1061 }{\pi} } $$ $$ r \approx 15.9687 $$This page was created using
Cone Calculator