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 r2h/3
Where, r = radius of cone and h = height of cone
Then, the volume of cone = Pai x 152 x 20/3
= Pai 15 x 15 x 20/ 3
= 15 x 5 x 20 x pai
= 1500 pai cm3
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 cm3
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.