In this case, the problem involves determining the relationship between the radius $r$ and the volume $V$ of cylinders with a fixed height of 9 inches. To complete the table, we'll use the formula for the volume of a cylinder:

$V = \pi r^2 h$

Where:

• $V$ is the volume,
• $r$ is the radius,
• $h$ is the height of the cylinder (which is 9 inches).

Let's calculate the volume for the three given radii:

When $r = 1$:

$V = \pi (1)^2 \times 9 = 9\pi$

When $r = 2$:

$V = \pi (2)^2 \times 9 = 36\pi$

When $r = 3$:

$V = \pi (3)^2 \times 9 = 81\pi$

Now, the table should look like this: