What is the formula to calculate the volume of a cone with a diameter of 3' and a height of 10'?

The volume of a cone is calculated using the formula that involves the radius and the height. The correct formula is expressed as one-third of the product of the base area and the height. Since the base of a cone is circular, the area of the base is calculated using the radius squared and then multiplied by π (pi).

To derive the volume of a cone, the formula can be simplified to:

Volume = (1/3) x π x radius² x height.

In this question, the diameter of the cone is given as 3 feet. Therefore, the radius, which is half of the diameter, would be 1.5 feet. This radius is crucial because the volume calculation depends on it.

The formula presented in the answer highlights the use of the radius rather than the diameter directly, which is essential for calculating the base area accurately. By squaring the radius and then multiplying by the height, we follow the geometric principles that define the shape and volume of a cone.

Using this understanding of the correct parameters provides a clear and valid method for calculating the volume, affirming the correctness of the provided answer.