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The height of a cone is 15 cm. If its volume is 1570 cm^3, find the radius of the base.

Q : 3    The height of a cone is 15 cm. If its volume is 1570 $\small cm^3$, find the radius of the base. (Use $\small \pi =3.14$

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Given,

Height of the cone = $h =15\ cm$

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

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

$\therefore$ $\frac{1}{3}\times3.14\times r^2\times15 = 1570$

$\\ \Rightarrow 3.14\times r^2\times5 = 1570 \\ \Rightarrow r^2 = \frac{1570}{15.7} \\ \Rightarrow r^2 = 100 \\ \Rightarrow r = 10\ cm$

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