Question

the radius and slant height of a cone are in the ratio of 7 is to 13 and the curved surface area is 286 CM square then its radius is

Answer 1

let the r be 7x and l be 13x

CSA=πrl

286=22/7*7x*13x

286*7/22*7*13=x²

1=x²

1=x

hence r=7x                          

7*1

r=7cm

l=13x

13*1

l=13cm

Answer 2

Answer:

Let r/1 = 7/13x

Curved surface area CSA=286 cm2

But CSA=πrl

∴286 = 22/7 × 7x × 13x

or x2 = 286/22×13 = 1

or x = 1

∴ r=7 cm

∴ Diameter d=14 cm

Step-by-step explanation: