Question

The radius and slant height of a right circular cone are in the ratio 7:13 and its CSA is 286cm2 . Find its radius of the cone.
Please answer ASAP haha :)

Answer 1

Answer:

l/r=7/13

r = 7x

l = 13x

C.S.A = 286

πrl=28622/7 ×7x×13x=286

286x²=286

x²=1=x=±1

∵x=−1,x=1

x≠-1; x= 1

radius = 7x =7(1)=7cm.

Answer 2

Answer:

Radius = 7 cm

Step-by-step explanation:

CSA of a cone = πrl

Let radius = 7x and slant height = 13x

Then

π(7x)(13x) = 286