Question

The ratio of radius and slant height of a cone is 4: 7. If it's curved surface What
area is 3168 cm², then it's radius is equal to :
(a) 24 cm
(b) 21 cm (c) 32 cm
(d) 28 cm
​

Answer 1

Answer:

the ANSWER will be 32cm.

Answer 2

Step-by-step explanation:

let, the radius be 4x

and the slant height be 7x.

A/Q,

πrl = 3168

22/7× 4x × 7x = 3168

22×4x × x = 3168

4x^2 = 3168/22

4x^2 = 144

x^2 = 144/4

x =√36

x = 6.

Therefore, radius is 4×6=24and the slant height is 7×6= 42.