Final answer:
The relationship between the volume of a cylinder and the height and radius of its base is direct.
Step-by-step explanation:
The relationship between the volume of a cylinder and the height and radius of its base is a direct relationship. This means that as the height and radius increase, the volume of the cylinder will also increase, and as the height and radius decrease, the volume will also decrease.
To understand this, let's look at the formula for the volume of a cylinder, which is V = πr^2h. Here, r represents the radius of the base and h represents the height. As you can see, both the radius and the height are multiplied together to calculate the volume. Therefore, if one of them increases, the volume will increase.
For example, if you have two cylinders with the same height but different base radii, the one with the larger radius will have a greater volume. Similarly, if you have two cylinders with the same base radius but different heights, the one with the greater height will have a larger volume.