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# Curved surface area of a cone is 308 cm square and its slant height is 14 cm. Find (i) radius of the base

Q : 3    Curved surface area of a cone is $\small 308\hspace{1mm}cm^2$ and its slant height is 14 cm. Find

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Given,

The curved surface area of a cone =  $\small 308\hspace{1mm}cm^2$

Slant height $= l = 14\ cm$

(i) Let the radius of cone be $r\ cm$

We know, the curved surface area of a cone= $\pi rl$

$\therefore$ $\\ \pi rl = 308 \\ \\ \Rightarrow \frac{22}{7}\times r\times14 = 308 \\ \Rightarrow r = \frac{308}{44} = 7$

Therefore, the radius of the cone is $7\ cm$

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