Find the radius $ r $ of a cone if height $h = 150$ and slant height $l = 173.205$.
Answer
$r = 86.6024$
Explanation
To find side $ r $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ h = 150 $ and $ l = 173.205 $ we have:
$$ r ^ {\,2} + 150^2 = 173.205^2 $$ $$ r ^ {\,2} = 173.205^2 - 150^2 $$ $$ r ^ {\,2} = 29999.972 - 22500 $$ $$ r ^ {\,2} = 7499.972 $$ $$ r = \sqrt{ 7499.972 } $$$$ r = 86.6024 $$This page was created using
Cone Calculator