Cylinder twice

If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?):

Result

n =  2

Solution:

$V = \pi r ^2 \ h \ \\ V_{ 2 } = \pi (2r)^2 (h/2) = 2 \ \pi r^2 \ h = 2 \ V \ \\ n = V_{ 2 }/V \ \\ n = 2$

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