Find the slant height $ l $ of a cone if diameter $d = 12.5$ and height $h = 14.1$.
Answer
$l = 15.4231$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 12.5 $ we have:
$$ 12.5 = 2 \cdot r $$ $$ r = \dfrac{ 12.5 }{ 2 } $$ $$ r = 6.25 $$STEP 2: find side $ l $
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 6.25 $ and $ h = 14.1 $ we have:
$$ 6.25^2 + 14.1^2 = l^2 $$ $$ 39.0625 + 198.81 = l^2 $$ $$ l^2 = 237.8725 $$ $$ l = \sqrt{ 237.8725 } $$$$ l = 15.4231 $$This page was created using
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