Question

The slant height of a cone is $13cm$ and radius is $5cm$. then its height is-

• A. $5cm$
• B. $22cm$
• C. $12cm$
• D. $18cm$

Answer 1

The correct option is C $12cm$

As given in this diagram

Here the height will be perpendicular to the base

So it will form a right angled triangle we can apply Pythagoras theorem in this right angled triangle

$S=13cm$ and $r=5cm$

$S^2=h^2+r^2$

${13}^2=h^2+5^2$

Hence $h=12cm$