Given, ratio of radius and slant height =7:13.
Let radius, r=7x and slant height, h=13x.
Also, curved surface area og the cone =286cm2.
But we know, the curved surface area of a cone =πrl.
Then,
⟹286=227×7x×13x
⟹ x2=28622×13=1
⟹x=1.
∴ The required radius, r=7cm.
Hence, option B is correct.