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Solution for Curved Surface Area of a Cone is 308 Cm2 and Its Slant Height is 14 Cm. Find the Radius of the Base and Total Surface Area of the Cone. - CBSE Class 9 - Mathematics

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Question

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find the radius of the base and total surface area of the cone. 

Solution

(1) Given that, 

Slant height of cone= 14cm  

Let radius of circular end of cone=r 

Curved surface area of cone=`pirh` 

`308cm^2=(22/7xxrxx14)cm`        [∵` CSA=308 cm^2`] 

⇒ `r= 308/44cm=7cm` 

Thus, radius of circular end of cone= 7cm 

(ii) Given that CSA= `308cm^2` 

WKT, total surface area of cone 

=curved surface area of cone + area of base 

= `pirl+pir^2` 

=`[308+22/7(7)^2]cm^2` 

= `308+154cm^2` 

= `462cm^2` 

Thus, the total SA of the cone is `462 cm^2` 

  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: 15
Solution for question: Curved Surface Area of a Cone is 308 Cm2 and Its Slant Height is 14 Cm. Find the Radius of the Base and Total Surface Area of the Cone. concept: Surface Area of a Right Circular Cone. For the course CBSE
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