For example, if the height is 20 inches and the radius is 4 inches, the area can be calculated by 3.14159 x 4 2 = 3.14159 x 16 = 50.265. Calculating the volume requires just one extra step. Using the second equation is appropriate if the area is unknown, but the radius can be measured or is given.
For example, if the height and area are given to be 2 feet and 15 square feet, the cone volume is then simply the result of multiplying the two and dividing by three: 2 x 15 / 3 = 30 / 3 = 10 cubic feet. cubic inches, cubic feet, cubic yards, cubic mm, cubic cm, cubic meters, and so on.Īpplying the cone volume equations is straightforward provided the cone's height is known and one of the following is also given: the radius, the diameter, or the area of its base. The output is always in cubic units, e.g. inches or centimeters, then follow the formula above or use our online volume of a cone calculator. Convert the length units to the same base, e.g.
If you already have plans or schematics, just get the lengths from there. How to calculate the volume of a cone?įirst, take the measurement of the diameter (widest measurement you can take of the base), then measure or estimate the height. π is the unitless mathematical constant equal to ~3.149159.
The formula for the volume of a cone is (height x π x (diameter / 2) 2) / 3, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is (height x π x radius 2) / 3, as seen in the figure below:ĭespite the relative complexity of the body, you only need two measurements to calculate a cone's volume: its height and the diameter of its base, or equivalently - its radius.