The radius and slant height of a cone are in the ratio 4:7. If its cur

1.	The radius and slant height of a cone are in the ratio 4:7. If its curved surface area is 792 cm2, find its radius. (Use π =22/7).
Answer» Curved surface area = 792 cm² The radius and slant height of a cone are in the ratio 4:7 Let 4x be the radius and 7x be the height of cone. Now, Curved surface area (C.S.A.) = πrl So, 22/7 x (4x) x (7x) = 792 or x² = 9 or x = 3 Therefore, Radius = 4x = 4(3) cm = 12 cm

The radius and slant height of a cone are in the ratio 4:7. If its curved surface area is 792 cm2, find its radius. (Use π =22/7).

Answer»

Curved surface area = 792 cm²

The radius and slant height of a cone are in the ratio 4:7

Let 4x be the radius and 7x be the height of cone.

Now,

Curved surface area (C.S.A.) = πrl

So, 22/7 x (4x) x (7x) = 792

or x² = 9

or x = 3

Therefore, Radius = 4x = 4(3) cm = 12 cm