Find the radius $ r $ of a cone if height $h = 22.5$ and slant height $l = 48$.
Answer
$r = 42.3999$
Explanation
To find side $ r $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ h = 22.5 $ and $ l = 48 $ we have:
$$ r ^ {\,2} + 22.5^2 = 48^2 $$ $$ r ^ {\,2} = 48^2 - 22.5^2 $$ $$ r ^ {\,2} = 2304 - 506.25 $$ $$ r ^ {\,2} = 1797.75 $$ $$ r = \sqrt{ 1797.75 } $$$$ r = 42.3999 $$This page was created using
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