Here is a practice question on how the volume of a cylinder varies with its height and radius.

The radius of a right circular cylinder is doubled and the height of the cylinder is halved to form a new right circular cylinder. The volume of the new

cylinder is how many times the volume of the original cylinder?

- $\quad \dfrac{1}{4}$
- $\quad \dfrac{1}{2}$
- $\quad 1$
- $\quad 2$
- $\quad 4$

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