Find the slant height $ l $ of a cone if radius $r = 10$ and height $h = 942$.
Answer
$l = 2 \sqrt{ 221866 }$
Explanation
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 10 $ and $ h = 942 $ we have:
$$ 10^2 + 942^2 = l^2 $$ $$ 100 + 887364 = l^2 $$ $$ l^2 = 887464 $$ $$ l = \sqrt{ 887464 } $$$$ l = 2 \sqrt{ 221866 } $$This page was created using
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