Question

the radius and slant height of a cone are in ratio 4:7.If its C.S.A. is 198cm^2.Then radius of cone will be what?​

Answer 1

$\huge \mathfrak{hello \: mate}$

Let the radius 'r' of the cone be 4x and it's slant height 'l' be 7x.

It is given that the Curved surface area of the cone is 198 cm².

We know that CSA of a cone=πrl

So,

➡22/7×4x×7x=198

➡616x²/7=198

➡88x²=198

➡x²=198÷88

➡x²=2.25

➡x=1.5 cm

Now, the radius will be equal to,

➡4x=1.5×4=6 cm

Therefore,

Radius=6 cm