Find the base area $ A_B $ of a cone if slant height $l = 6$ and Curved Surface Area $CSA = 20$.
Answer
$AB = 40.5285\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ CSA = r \cdot l \cdot \pi$$After substituting $ CSA = 20 $ and $ l = 6 $ we have:
$$ 20 = 6 \cdot r \cdot \pi $$$$ r = \dfrac{ 20}{ 6 \, \pi } $$$$ r = 6.3662 $$STEP 2: find base area $ AB $
To find base area $ AB $ use formula:
$$ AB = r^2 \cdot \pi $$After substituting $ r = 6.3662 $ we have:
$$ AB = 6.3662^2 \cdot \pi $$ $$ AB = 40.5285 \cdot \pi $$This page was created using
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