# The Number of Casted Cones are-

A right circular cone of height 20 cm and base radium 15 cm is melted and casted into smaller cones of equal sizes of height 5 cm and has radius 1.5 cm. The number of casted cones are-

- 100
- 300
- 150
- 400

**Answer: (4) 400**

**Explanation:-
**

**Given-**

The height of a cone = 20 cm and radius of the cone = 15 cm

**Formula-
The volume of the cone = Pai x r ^{2}h/3
Where, r = radius of cone and h = height of cone**

Then, the volume of cone = Pai x 15^{2} x 20/3

= Pai 15 x 15 x 20/ 3

= 15 x 5 x 20 x pai

= 1500 pai cm^{3}

The height of small cone = 5 cm and radius of small cone = 1.5 cm

Then, the volume of small cone = 5 x 1.5 x 1.5 Pai/3

= 5 x 0.5 x 1.5 pai

= 3.75 pai cm^{3}

Then, the number of small of cones = 1500 Pia/3.75 pai

= 150000/375

= 400

Then, the number of casted cones is 400.

Hence, the answer is (4) 400.