Find the slant height $ l $ of a cone if radius $r = 3$ and height $h = 5$.
Answer
$l = \sqrt{ 34 }$
Explanation
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 3 $ and $ h = 5 $ we have:
$$ 3^2 + 5^2 = l^2 $$ $$ 9 + 25 = l^2 $$ $$ l^2 = 34 $$ $$ l = \sqrt{ 34 } $$This page was created using
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