Find the slant height $ l $ of a cone if diameter $d = 2$ and height $h = 6$.
Answer
$l = \sqrt{ 37 }$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 2 $ we have:
$$ 2 = 2 \cdot r $$ $$ r = \dfrac{ 2 }{ 2 } $$ $$ r = 1 $$STEP 2: find side $ l $
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 1 $ and $ h = 6 $ we have:
$$ 1^2 + 6^2 = l^2 $$ $$ 1 + 36 = l^2 $$ $$ l^2 = 37 $$ $$ l = \sqrt{ 37 } $$This page was created using
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