In a cone, the ratio of radius to slant height is 7 : 13. Its curved s

1.	In a cone, the ratio of radius to slant height is 7 : 13. Its curved surface area is 1144cm². Find the radius
Answer» 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

In a cone, the ratio of radius to slant height is 7 : 13. Its curved surface area is 1144cm². Find the radius

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