Find the radius $ r $ of a cone if height $h = 22.5$ and slant height $l = 45$.
Answer
$r = 38.9711$
Explanation
To find side $ r $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ h = 22.5 $ and $ l = 45 $ we have:
$$ r ^ {\,2} + 22.5^2 = 45^2 $$ $$ r ^ {\,2} = 45^2 - 22.5^2 $$ $$ r ^ {\,2} = 2025 - 506.25 $$ $$ r ^ {\,2} = 1518.75 $$ $$ r = \sqrt{ 1518.75 } $$$$ r = 38.9711 $$This page was created using
Cone Calculator