Content

• To step
• Method 1 of 1: Calculate the volume of a cone
• Tips
• Warnings

You can easily calculate the volume of a cone if you know its height and radius. The formula to calculate the content is then as follows: v = hπr / 3. Below we explain it in easy steps.

To step

Method 1 of 1: Calculate the volume of a cone

1. Calculate the radius. If you already know the radius, you can skip this step and go straight to step 2. If you know the diameter of the circle, all you have to do is divide it by two to calculate the radius. If you know the circumference, calculate the radius by dividing the circumference by 2π. And if you don't know the circumference, you have no choice but to take a ruler and measure the diameter. Then divide the measured value by two and you have the radius. Suppose the radius of the base of this cone is 0.5 cm.
2. Use the radius to calculate the area of ​​the base of the cone. To do this, you simply use the formula to calculate the area of ​​a circle: A = πr. At the place of "r" we enter 5: A = π (0.5), or pi times 0.5 squared A = π (0.5) = 0.79 cm.
3. Measure the height of the cone. If you already know the height, all you have to do is write it down. If you don't know the height yet, use a ruler. Suppose the height of our cone is 1.5 cm. Note: you must always ensure that the height is indicated in the same unit as the radius; in this case centimeters.
4. Multiply the area of ​​the base by the height of the cone. Multiply 0.79 cm by 1.5 cm. 0.79 cm x 1.5 cm = 1.19 cm.
5. Divide the result by three. Divide 1.19 cm by 3 to calculate the volume of the cone. 1.19 cm / 3 = 0.40 cm.

Tips

• Make sure your measurements are exact.
• That is how it works:
  
  
  • You actually calculate the volume of a cone by first pretending that you are dealing with a cylinder. In that case, take the area of ​​the base and multiply it by the height of the cylinder. And exactly 3 cones of the same height and with the same base surface always fit in a cylinder. so if you divide the contents of a cylinder by three, you get the contents of three cones that fit in the cylinder.
• The radius, height and apothem (from the top of the cone to a point on the circumference of the circle) form a right triangle. So we can apply the Pythagorean theorem to this.
• Always use the same unit for different measurements.

Warnings

• Don't forget to divide the result by 3.