Question

Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone.

Answer 1

Let the radius of the base of the cone be r cm.

Height of the cone, h = 12 cm

Slant height of the cone, l = 13 cm

Now,

r² + h² = l²

⇒ r² + (12)² = (13)²

⇒ r² + 144 = 169

⇒ r² = 169 − 144 = 25

⇒ r = `sqrt 25` = 5cm

Thus, the radius of the base of the cone is 5 cm.