STEP 1: find radius $ r $

To find radius $ r $ use formula:

$$ d = 2 \cdot r $$

After substituting $d = 12.5\, \text{cm}$ we have:

$$ 12.5\, \text{cm} = 2 \cdot r $$ $$ r = \dfrac{ 12.5\, \text{cm} }{ 2 } $$ $$ r = 6.25\, \text{cm} $$

STEP 2: find side $ l $

To find side $ l $ use Pythagorean Theorem:

$$ r^2 + h^2 = l^2 $$

After substituting $r = 6.25\, \text{cm}$ and $h = 14.1\, \text{cm}$ we have:

$$ \left( 6.25\, \text{cm} \right)^{2} + \left( 14.1\, \text{cm} \right)^{2} = l^2 $$ $$ 39.0625\, \text{cm}^2 + 198.81\, \text{cm}^2 = l^2 $$ $$ l^2 = 237.8725\, \text{cm}^2 $$ $$ l = \sqrt{ 237.8725\, \text{cm}^2 } $$$$ l = 15.4231\, \text{cm} $$

Cone Calculator