Question

the radius and slant height of cone are in the ratio of 7:25.If its curved surface area is 2200 sq cm.find the radius​

Answer 1

14 cm

Explanation:

Let the radius (r) and slant height
`l` of the cone be 7x and 25x respectively.

Curved surface are of the cone = 2200 sq cm

`\therefore \pi r l = 2200`

`\therefore (22)/(7) * 7x* 25x= 2200`

`\therefore (22)/(7) * 175x^2 = 2200`

`\therefore x^2 = (2200* 7)/(22* 175)`

`\therefore x^2 = (100)/( 25)`

`\therefore x^2 = 4`

`\therefore x =\sqrt 4`

`\therefore x =2\: cm`

Radius = 7x = 7*2 = 14 cm