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Question

The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is 20:___.
  1. 27

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Solution

The correct option is A 27
Let V1 be the volume of a cylinder whose radius is 'r' and height is 'h' and

V2 be the volume of a cylinder whose radius is 'R' and height is 'H'.

Given, r : R = 2 : 3 and h : H = 5 : 3.

We know, volume of cylinder =πr2h,
where 'r' and 'h' are its radius and height.

V1V2=πr2hπR2H =(rR)2×hH =(23)2×53 =2027

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