Find the slant height $ l $ of a cone if diameter $d = 0.33$ and height $h = 15$.
Answer
$l = 15.0009$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 0.33 $ we have:
$$ 0.33 = 2 \cdot r $$ $$ r = \dfrac{ 0.33 }{ 2 } $$ $$ r = 0.165 $$STEP 2: find side $ l $
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $ r = 0.165 $ and $ h = 15 $ we have:
$$ 0.165^2 + 15^2 = l^2 $$ $$ 0.0272 + 225 = l^2 $$ $$ l^2 = 225.0272 $$ $$ l = \sqrt{ 225.0272 } $$$$ l = 15.0009 $$This page was created using
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