Find the height $ h $ of a cone if radius $r = 42$ and slant height $l = 102.3$.
Answer
$h = 93.2807$
Explanation
To find side $ h $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 42 $ and $ l = 102.3 $ we have:
$$ 42^2 + h^2 = 102.3^2 $$ $$ h^2 = 102.3^2 - 42^2 $$ $$ h^2 = 10465.29 - 1764 $$ $$ h^2 = 8701.29 $$ $$ h = \sqrt{ 8701.29 } $$$$ h = 93.2807 $$This page was created using
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