Find the height $ h $ of a cone if radius $r = 4$ and slant height $l = 17$.
Answer
$h = \sqrt{ 273 }$
Explanation
To find side $ h $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 4 $ and $ l = 17 $ we have:
$$ 4^2 + h^2 = 17^2 $$ $$ h^2 = 17^2 - 4^2 $$ $$ h^2 = 289 - 16 $$ $$ h^2 = 273 $$ $$ h = \sqrt{ 273 } $$This page was created using
Cone Calculator