STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $d = 0.33\, \text{cm}$ we have:
$$ 0.33\, \text{cm} = 2 \cdot r $$ $$ r = \dfrac{ 0.33\, \text{cm} }{ 2 } $$ $$ r = 0.165\, \text{cm} $$STEP 2: find side $ l $
To find side $ l $ use Pythagorean Theorem:
$$ r^2 + h^2 = l^2 $$After substituting $r = 0.165\, \text{cm}$ and $h = 15\, \text{cm}$ we have:
$$ \left( 0.165\, \text{cm} \right)^{2} + \left( 15\, \text{cm} \right)^{2} = l^2 $$ $$ 0.0272\, \text{cm}^2 + 225\, \text{cm}^2 = l^2 $$ $$ l^2 = 225.0272\, \text{cm}^2 $$ $$ l = \sqrt{ 225.0272\, \text{cm}^2 } $$$$ l = 15.0009\, \text{cm} $$