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# The volume of a right circular cone is 9856 cm cube. If the diameter of the base is 28 cm, find (ii) slant height of the cone

Q : 6    The volume of a right circular cone is $\small 9856\hspace{1mm}cm^3$. If the diameter of the base is 28 cm, find

(ii) slant height of the cone

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Given, a right circular cone.

The volume of the cone = $\small 9856\hspace{1mm}cm^3$

The radius of the base of the cone = $r = \frac{28}{2} = 14\ cm$

And the height of the cone =  $h = 48\ cm$

(ii) We know, Slant height, $l = \sqrt{r^2+h^2}$

$\\ \Rightarrow l = \sqrt{14^2+48^2} \\ \Rightarrow l = \sqrt{196+2304} = \sqrt{2500} \\ \Rightarrow l = 50\ cm$

Therefore, the slant height of the cone is $50\ cm$

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