The radius and slant height of a cone are in the ratio of 4 : 7. If its curved surface area is 792 cm 2 , find its radius. (Use π =22/7)

Question

The radius and slant height of a cone are in the ratio of 4 : 7. If its curved surface area is 792 cm 2 , find its radius. (Use &#x3C0; =22/7)

Philoid · Accepted Answer

We have,

Let radius of cone = r =4x,

Let slant height = l =7x

Area of curved surface = πrl = 792 cm²

Now, πrl = 792

=

∴r =4×3= 12 cm

l = 7×3 = 21 cm