Find the height $ h $ of a cone if radius $r = 7.8$ and slant height $l = 10$.
Answer
$h = 6.2578$
Explanation
To find side $ h $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 7.8 $ and $ l = 10 $ we have:
$$ 7.8^2 + h^2 = 10^2 $$ $$ h^2 = 10^2 - 7.8^2 $$ $$ h^2 = 100 - 60.84 $$ $$ h^2 = 39.16 $$ $$ h = \sqrt{ 39.16 } $$$$ h = 6.2578 $$This page was created using
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