Question
Find the slant height $ l $ of a cone if radius $r = 20.2\, \text{cm}$ and Curved Surface Area $CSA = 3513.9112\, \text{cm}$.
Answer
$55.3718$
Explanation
To find slant height $ l $ use formula:
$$ CSA = l \cdot r \cdot \pi$$After substituting $CSA = 3513.9112\, \text{cm}$ and $r = 20.2\, \text{cm}$ we have:
$$ 3513.9112\, \text{cm} = 20.2\, \text{cm} \cdot l \cdot \pi $$$$ l = \dfrac{ 3513.9112\, \text{cm}}{ 20.2\, \text{cm} \, \pi } $$$$ l \approx 55.3718 $$This page was created using
Cone Calculator