Content

• Steps
• Method 1 of 1: Calculating the Volume of a Cone
• Tips
• Warnings

You can calculate the volume of a cone in a very simple way, for this you need to know its height and radius. Then you just need to plug the corresponding values ​​into the formula and calculate the volume. The formula looks like this v = hπr / 3... There are several ways to calculate the volume of a cone:

Steps

Method 1 of 1: Calculating the Volume of a Cone

1. 1 Find the radius. If you already know the radius, proceed directly to the next step. If you know the diameter, divide it by 2 to get the radius. If you know the perimeter of the circle, divide it by 2π to get the diameter. If you do not have any parameters for the cone, simply use a ruler to measure the widest part of the circle at the base of the cone (this is the diameter), and divide the resulting numerical value by 2 to determine the radius. For example, the radius of the circle of a cone is 0.5 centimeters.
2. 2 Use the radius to find the area of ​​the circle at the base of the cone. Use the circle formula: A = πr... Plug in ".5" for the radius and get A = π (.5), square the radius and multiply by π to get the area of ​​the base of the cone. π (.5) = .79 cm
3. 3 Find the height of the cone. If you already know her, write it down. If not, use a ruler to measure. Let's say the height of the cone is 1.5 centimeters. Record the height of the cone in the same units as the radius.
4. 4 Multiply the area at the base of the cone by its height. Total 79cm x 1.5cm = 1.19cm
5. 5 Divide the resulting number by three. Just divide 1.19 cm by 3 to find the volume of the cone. 1.19 cm / 3 = .40 cm. Always indicate the volume in cubic units, because this indicates a three-dimensional space.

Tips

• Do not measure the volume of the cone if there is still ice cream in it.
• Measure all units accurately.
• How it works:
  
  
  • With this method, you calculate the volume of a cone as if it were a cylinder. When you calculate the area of ​​the base and multiply it by the height, you are creating an imaginary cylinder that holds exactly three of these cones, which is why you must then divide the result by three.
• The radius, height and length along the generatrix of the cone (it is measured along the sloping side of the cone, and the usual height is measured in the middle, from the base to its apex) form a regular triangle. Therefore, here you can use the Pythagorean theorem: (radius) (radius) + (height) = (length of the generatrix of the cone)
• All measurements must be in the same unit.

Warnings

• Remember to divide by 3 at the end.