Final answer:
The volume of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius and h is the height.
Step-by-step explanation:
The question is asking for the formula to calculate the volume of a cone with a given radius (r) and height (h). This formula is important in geometry for determining the capacity of conical shapes.
The formula for the volume of a cone is V = (1/3)πr²h. To apply it, simply substitute the known values for the radius and height into the formula and perform the calculations. This formula is derived from the fact that a cone is essentially a pyramid with a circular base, and the volume of a pyramid is one-third of the base area times the height. Here, the base area is given by πr².
We can use dimensional analysis to confirm that the formula is dimensionally consistent, as the units of each part should combine to give a result in cubic units, which is what we expect for the volume.