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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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