Find the height $ h $ of a cone if radius $r = 9$ and slant height $l = 9$.
Answer
Problem has no solutions.
Explanation
To find side $ h $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 9 $ and $ l = 9 $ we have:
$$ 9^2 + h^2 = 9^2 $$ $$ h^2 = 9^2 - 9^2 $$ $$ h^2 = 81 - 81 $$ $$ h^2 = 0 $$This equation has no solution $ \Longrightarrow $ The problem has no solution.
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