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# If the volume of a right circular cone of height 9 cm is 48 π cm^3, find the diameter of its base.

Q : 4    If the volume of a right circular cone of height 9 cm is $\small 48\pi \hspace{1mm}cm^3$, find the diameter of its base.

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Given,

Height of the cone = $h =9\ cm$

Let the radius of the base of the cone be $r\ cm$

We know,
The volume of a right circular cone = $\frac{1}{3}\pi r^2 h$

$\therefore$ $\frac{1}{3}\times\pi\times r^2\times9 = 48\pi$

$\\ \Rightarrow 3r^2 = 48 \\ \Rightarrow r^2 = 16\\ \Rightarrow r = 4\ cm$

Therefore the diameter of the right circular cone is $8\ cm$

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