Q. 85.0( 1 Vote )

The radius of the base of the right circular cylinder is halved, and the height is kept same. Find the ratio of the volume of the cylinder thus obtained to the volume of the original cylinder.

Answer :

The ratio is 4:1.


Given: The radius of the base of the cylinder is halved.


Formula:


Volume of cylinder = πr2h


Explanation:


Let the radius of the cylinder is ‘r’.


The height of the cylinder is ‘h’.


Volume of original cylinder (V) = πr2h


According to the question,


the radius of the base of the right circular cylinder is halved, and height is kept same


Radius of new cylinder (R) =


Volume of new cylinder (v) =





Hence the ratio is 4:1.


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