Maths-
General
Easy

Question

Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________

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

hintHint:

Here is the activity for finding the volume of cone

The correct answer is: 1:3


    Let us take a cylinder  of height "h", base radius "r", and take 3 cones of height "h". Fill the cones with water and empty out one cone at a time



    Each cone fills the cylinder to one-third quantity. Hence, such three cones will fill the cylinder. Thus, the volume of a cone is one-third of the volume of the cylinder.
    Volume of cone = (1/3) × Volume of cylinder
    = (1 third) × πr2h
    = (1 third)πr2h
    So the ratio of volume of cone to the volume of cylinder is 1:3
    Therefore , the correct option is b) 1:3

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