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Question

A cone and a cylinder have a radius and height of  3 cm and 5 cm respectively. The ratio of the volume of cone to that of the cylinder is equal to
  1. 1:3
  2. 3:1
  3. 1:4
  4. 4:1


Solution

The correct option is A 1:3
Given, a cone and a cylinder have the same radius and height.
Let the radius be 'r' and height be 'h'.
Volume of cylinder is given by πr2h.
Volume of cone is given by 13πr2h.

Volume of coneVolume of cylinder=13πr2hπr2h                           =13

Hence, the required ratio is 1:3.

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