Which of the following is a correct expression for the volume of a cylinder?

The volume of a cylinder is calculated using the formula that takes into account the area of the base and the height of the cylinder. The base of a cylinder is circular, and the area of a circle is given by the expression πR², where R is the radius. To find the volume, this area must be multiplied by the height (H) of the cylinder. Therefore, the correct expression for the volume of a cylinder is π * R² * H.

This formula reflects the geometric relationship between the radius, height, and volume of a cylinder, making it essential in applications involving cylindrical shapes, such as storage tanks or pipes. Understanding this relationship is crucial for tasks in fields like construction, engineering, and environmental management where accurate volume calculations are necessary.