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

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

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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 = πrl

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

= πrl + πr²

Therefore, the total surface area of the cone is 462 cm².

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308 c m^{2}

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The curved surface area of a cone is $308 c m^{2}$ and its slant height is 14 cm. Find the radius of the base and total surface area of the cone.

308 {c m}^{2}

14 c m

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[A s s u m e π = \frac{22}{7}]

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