What is the formula to calculate the volume of a cone?

The formula to calculate the volume of a cone is given by V = (1/3)Bh. In this formula, "V" represents the volume, "B" represents the area of the base of the cone, and "h" represents the height of the cone.

This formula is derived from the general principle that the volume of a pyramid (or cone, which is a specific type of pyramid) is one-third the product of the area of the base and the height. The factor of one-third accounts for the fact that a cone's volume is smaller than a cylinder with the same base area and height, as the shape of the cone tapers off to a point.

The other choices do not accurately represent the formula for the volume of a cone. For instance, a formula like V = Bh/3 incorrectly suggests that the volume is one-third of the base area multiplied by height without the correct placement of the one-third factor. The formula V = 1/2Bh is relevant to the area of a triangle, not applicable here. Lastly, V = 3Bh implies that the volume is three times the product of the base area and the height, which again does not conform to the mathematical principles regarding cones. Thus,