Maths-
General
Easy

Question

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


    We have given that
    Radius is same , Let radius be r
    Height ratio is 2:3
    H1:h2 = 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 squared h 1 over denominator 1 third pi r squared h 2 end fraction

    = h subscript 1 over h subscript 2


    =2 over 3
    Therefore the correct option is a) 2:3

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