Question

The slant height and curved surface area of one cone is twice that of the Other cone find the ratio of their radii

Answer 1

Answer:

1:1

Step-by-step explanation:

Let l1 and l2 be the slant height of cone 1 and cone 2 respectively.

and c1 and c2 be the curved surface areas of cone 1 and cone 2 respectively.

According to question

l1=2(l2)

c1=2(c2)

$\pi r1l1=2(\pi r2l2)$

$r1*2(l2)=2(r2l2)$                                    (l1=2l2)

$r1=r2$

$r1/r2=1/1$

Hence, the ratio of their radii is 1: 1.