Question

perpendicular height of a cone is 12 centimetre and its slant height is 13 cm find the radius of the base of the cone

Answer 1

We know that l² = h² + r²

 so, r² = 13² -12² = 169 - 144
      r² = 25
 
so, Radius, r = 5 cm

Answer 2

Answer:

The radius is r=5 cm

Step-by-step explanation:

Given perpendicular height of a cone is 12 cm and  its slant height is 13 cm. we have to find the radius of base of cone.

By Pythagoras theorem

$AC^2=AB^2+BC^2$

⇒ $l^2=h^2+r^2$

⇒ $13^2=12^2+r^2$

⇒ $169=144+r^2$

⇒ $r^2=169-144=25$

The radius is r=5 cm