If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduce cylinder to that of the original.

Explanation

To solve the problem of finding the ratio of the volume of a reduced cylinder (with half the radius) to that of the original cylinder, we can follow these steps:

### Step 1: Understand the Volume Formula
The volume \( V \) of a right circular cylinder is given by the formula:
\[ V = \pi r^2 h \]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
...