Question

The radius and slant height of a cone are in the ratio 4:7. If its curved surface area is 792 cm ^2 .Find its radius.

Answer 1

Hey

Ratio of radius and slant height = 4 : 7

Let ratio constant be x .

So , radius = 4x cm

slant height = 7x cm .

Now , given :-

Curved surface area = 792 cm²

A / q ,

pie * r * l => CSA

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

=> 22 * 4 * x * x = 792

=> 22 * x * x = 198

=> x * x = 9

=> x = √ 9

=> x = 3 .

so radius = 4 ( 3 ) = 12 cm

slant height = 7 (3 ) = 21 cm .

thanks :)

Answer 2

Answer⤵

refer above attachment