#### Question

The radius and slant height of a cone are In the ratio of 4 : 7. If its curved surface area is 792 cm2, find its radius. (Use it 𝜋 = 22/7).

#### Solution

Given that,

Curved surface area=`pirl=792`

Let the radius `(r)=4x `

Height `(h)=7x `

Now, CSA=792

`22/7xx"4x"xx7x=792`

⇒ `88x^2=792`

⇒` x^2=792/88=9`

⇒ `x=3`

∴ Radius =`4x=4xx3=12cm`

Is there an error in this question or solution?

Solution The Radius and Slant Height of a Cone Are in the Ratio of 4 : 7. If Its Curved Surface Area is 792 Cm2, Find Its Radius. (Use It 𝜋 = 22/7). Concept: Surface Area of a Right Circular Cone.