What is the formula for the volume of a cylinder?

The formula for the volume of a cylinder is given by pi multiplied by the radius squared, and then multiplied by the height. This mathematical expression captures how the cylinder's dimensions contribute to its overall capacity.

In this formula, "pi" represents a constant (approximately 3.14159), which relates to the circumference of a circle. The radius is the distance from the center of the circular base of the cylinder to its edge, and squaring this value (radius squared) corresponds to the area of the circular base. By then multiplying by the height, you effectively extend that area through the height of the cylinder to find the volume.

This formula is essential for various applications, including calculating the capacity of tanks, pipes, or any cylindrical structures in water treatment scenarios. The other options provided do not pertain to the volume calculation of a cylinder; for example, the first choice describes a general rectangular volume formula, the third relates to water treatment practices, and the fourth simply states a distance rather than a volume.