If the area of the curved surface of a cone is 396 m² and area of its base is 36π m², find the slant height of the

August 2023 1 2 Report

If the area of the curved surface of a cone is 396 m² and area of its base is 36π m², find the slant height of the cone.

Answer:

We know that the curved surface area of a cone with radius r and slant height l is CSA=πrl.

It is given that the curved surface area of the cone is CSA=60π cm

and the slant height is l=8 cm, therefore,

CSA=πrl

⇒60π=π×r×8

⇒60=8r

⇒r=

=7.5

Hence, radius the cone is 7.5 cm.