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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