We know, the curved surface area of a cone =πrl, where r is the radius of the cone and l is the slant height.
Given, the curved surface area of the cone =286 m2.
Hence, the curved surface area of this cone:
⇒ 227×r×13=286[∵ π=227]
⇒r=7 m.
We know, base of a cone is circular.
∴ Area of the base =πr2
=227×7×7
=154 m2.
Hence, option C is correct.