Find the slant height $ l $ of a cone if base area $AB = 78.5$ and Curved Surface Area $CSA = 188.4$.
Answer
$l = 11.997$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $ AB = 78.5 $ we have:
$$ AB = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = 78.5 $$ $$ r = \sqrt{ \frac{ 78.5 }{\pi} } $$ $$ r \approx 4.9987 $$STEP 2: find slant height $ l $
To find slant height $ l $ use formula:
$$ CSA = r \cdot l \cdot \pi $$After substituting $ CSA = 188.4 $ and $ r = 4.9987 $ we have:
$$ 188.4 = 4.9987 \cdot l \cdot \pi $$$$ l = \dfrac{ 188.4 }{ 4.9987 \, \pi} $$$$ l = 11.997 $$This page was created using
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