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-

  1. 100
  2. 300
  3. 150
  4. 400
Anurag Mishra Professor Asked on 7th October 2015 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 7th October 2015.
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