When calculating volume, which formula is used for a right circular cylinder?

The formula for calculating the volume of a right circular cylinder is V = π x Radius² x Height. This formula derives from the geometric principles underlying the shape of the cylinder. In this case, the volume is found by multiplying the area of the circular base (which is calculated as π x Radius²) by the height of the cylinder.

The reason this formula is used specifically for cylinders is that it accurately accounts for the circular cross-section, and it integrates the height to establish the three-dimensional space the cylinder occupies. The presence of π is crucial as it reflects the relationship between the diameter and the radius of the circular base. When calculating, the radius must be squared to find the total area of the base before multiplying by the height to extend that area into the third dimension.

Other options do not accurately represent the formula required for a right circular cylinder. For instance, using length, width, and height as in the first option pertains to rectangular prisms rather than circular shapes. The others focus on dimensions and relationships that do not apply to the circular cross-section of a cylinder, leading to incorrect methods of calculating volume.