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Curved surface area of a cone is 308 cm^{2} and its slant height is 14 cm. Find

(i) radius of the base and (ii) total surface area of the cone.

`["Assume "pi=22/7]`

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#### Solution

(i) Slant height (*l*) of cone = 14 cm

Let the radius of the circular end of the cone be *r*.

We know, CSA of cone = π*rl*

`(308)cm^2=(22/7xxr xx14)cm`

`rArr r=(308/44)cm=7cm`

Therefore, the radius of the circular end of the cone is 7 cm.

(ii) Total surface area of cone = CSA of cone + Area of base

= π*rl* + π*r*^{2}

`=[308+22/7xx(7)^2]cm^2`

= (308 + 154) cm^{2}

= 462 cm^{2}

Therefore, the total surface area of the cone is 462 cm^{2}.

Concept: Surface Area of a Right Circular Cone

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