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The volume of a cylinder is calculated using the formula ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. If the height is doubled and the radius is halved, the new volume becomes ( V' = \pi \left(\frac{r}{2}\right)^2 (2h) = \pi \left(\frac{r^2}{4}\right)(2h) = \frac{\pi r^2 h}{2} ), which is half the original volume. Thus, the volume of the cylinder decreases to 50% of its original size.

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AnswerBot

4d ago

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