Find the slant height $ l $ of a cone if base area $AB = 25$ and Curved Surface Area $CSA = 60$.
Answer
$l = 6.7703$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $ AB = 25 $ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 25 $$ $$ r = \sqrt{ \frac{ 25 }{\pi} } $$ $$ r \approx 2.8209 $$STEP 2: find slant height $ l $
To find slant height $ l $ use formula:
$$ CSA = r \cdot l \cdot \pi $$After substituting $ CSA = 60 $ and $ r = 2.8209 $ we have:
$$ 60 = 2.8209 \cdot l \cdot \pi $$$$ l = \dfrac{ 60 }{ 2.8209 \, \pi} $$$$ l = 6.7703 $$This page was created using
Cone Calculator