Question

the ratio of the base radiiof two right circular cylinder 1:2 and ratio of the corresponding height is 2:1 find the ratio of their volume

Answer 1

Heya! 

Since the radii are in the ratio 2:3 they can be taken as 2r and 3r units respectively.

Since it is given that both cylinders have same height, let it be h units

Volume of a cylinder is πr^2 h

Ratio of volumes = π (2x)^2h/π (3x)^2 h

= π 4x^2 h/π 9h^2 h = 4:9

So ratio of volumes 4:9

Conclusion: Ratio of volumes of cylinders is as the ratio of square of the radii if the height remains the same.

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Answer 2

therefore required ratio will be 1:1