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Easy

Question

The heights of 2 cones are same and the radii of their bases are in the ratio 2:3 , ratio of their volumes is

  1. 2:3
  2. 3:2
  3. 4:9
  4. 9:4

hintHint:

Volume of a cone = (1/3)πr2h

The correct answer is: 4:9


    We have given that
    Height is same , Let height be h
    radius ratio is 2:3
    r1:r2 = 2:3
    Therefore the if we compare the volumes of the cones
    fraction numerator text  Volume of a conel  end text over denominator text  Volume of a cone  end text 2 end fraction equals fraction numerator 1 third pi r subscript 1 superscript 2 h over denominator 1 third pi r subscript 2 squared h end fraction

    fraction numerator r subscript 1 superscript 2 over denominator r subscript 2 superscript 2 end fraction

    = (2 over 3)2

    = 4 over 9
    Therefore the correct option is c) 4 : 9.

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