In a cylinder, if the radius is doubled and the height is halved, then the volume will be ____.

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Detailed Solution

In a cylinder, if the radius is doubled and the height is halved, then the volume will be doubled.
Given, the radius is halved and the height is doubled.
We know that the volume of a cylinder is

π r^{2} h

.
Volume of the new cylinder =

π {(2 r)}^{2} (\frac{h}{2}) = 2 π r^{2} h

.
= two times of the old cylinder.
Hence, the volume is doubled.
So the correct answer is doubled.

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