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Solution for 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). - CBSE Class 9 - Mathematics

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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?

APPEARS IN

 R.D. Sharma Mathematics for Class 9 by R D Sharma (2018-19 Session) (with solutions)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Q: 10
Solution for 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). concept: Surface Area of a Right Circular Cone. For the course CBSE
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