Question

12. The radius and slant height of a cone are in ratio 4:7. If curved surface area is 792cm2, find its radius.​

Answer 1

Answer:

The radius of the cone is 12 cm

Answer 2

Answer:

Radius = 12 cm

Step-by-step explanation:

let the radius (r) = 4x

and the slant height (l) = 7x

We know that,

Curved Surface Area of a cone = πrl

Given,

Curved Surface Area = 792

=> πrl = 792

=> 22/7 * 4x * 7x = 792

=> 88 x² = 792

=> x² = 792/88

=> x² = 9

=> x = √9

=> x = 3

∴ Radius = 4x

=> 4(3) = 12cm