Question

the radius and slant height of a cone are in the ratio 4 ratio 7 if its curved surface area is 792 CM square find its radius

Answer 1

Hope it helps mate:)

Answer 2

Answer:

Step-by-step explanation:

Given :-

Ratio of radius and slant height = 4 : 7

Curved Surface Area = 792 cm²

To Find :-

Radius of cone

Formula to be used :-

Curved surface area of cone = πrl

Solution :-

Let the radius of cone (r) = 4x cm

And the slant height of the cone (l) = 7x cm  

Curved surface area of cone = πrl

πrl = 792 cm²    

⇒ 22/7 × 4x × 7x = 792

⇒ x² = 792/22 × 4

⇒ x² = 9  

⇒ x = 3 cm

Radius of the cone = 4 × 3 = 12 cm

Hence, Radius of cone is 12 cm.