#### 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`

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Solution 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.