What formula is used to calculate the volume of a cylinder?

The correct formula for calculating the volume of a cylinder is represented as V = πr²h. This formula incorporates both the radius of the base of the cylinder and its height.

In this formula, π (pi) is a mathematical constant approximately equal to 3.14 and represents the ratio of a circle's circumference to its diameter. The term r² signifies that you square the radius of the circular base to find the area of that base. By multiplying the area of the base by the height (h) of the cylinder, you derive the total volume, which gives you the three-dimensional space contained within the cylinder.

The other options don't apply as accurately to the specific case of a cylinder's volume calculation. One option provides a general formula for volume (V = B•h), where B denotes the area of the base. While it is true this can work for various three-dimensional shapes, it does not specify the base area for cylindrical shapes. The formulas involving 2πrh and variations of base area do not specifically yield the volume of a cylinder. Thus, V = πr²h is the precise formula needed to determine a cylinder's volume.