How to Calculate the Volume of a Cone

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You can calculate the volume of a cone easily when you know the height and radius of the base and know the formula. The formula for calculating the volume of a cone is as follows: v = hπr ² /3 .

Table of Contents

Steps

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Find the radius. If you already know the radius then move on to the next step. If you know the diameter, divide it by 2 to get the radius. If you know the circumference of the base circle, divide it by 2π to get the radius. Or if you don’t know any measurements, then take a ruler and measure the maximum distance of the 2 points on the base circle (which is the diameter), and divide that result by 2. For example, we have the base radius. is 1.3 cm.

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Use the obtained radius to calculate the area of the base. To find the area of the base, we take the measure of the radius and then apply it to the formula for the area of a circle: A = πr ² . Substitute 1.3 cm for r: A = π(1,3) ² . Then square the radius value and multiply by π to get the area of the base. π(1,3) ² = 5.3 cm ² .

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Find the height of the cone. If you already know your measurements, write them down on paper. If not, use a ruler to measure. Assume the cone has a height of 1.3 cm. Note that the height and bottom radius must be in the same unit of measurement.

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Multiply the area of the base by the height. Multiply the area of the base of the cone, 5.3 cm ² , by the height 1.3 cm ² . We get 6.9 cm ³ .

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Divide the result by 3. Divide 6.9 cm ³ by 3 to find the volume of the cone. 6.9 cm ³ /3 = 2.3 cm ³ . Remember the unit is always cube as this is a measurement in 3D space.

Advice

Make sure your measurements are correct.
Don’t apply this formula to a “not just a cone” shape, which means it has another part attached. For example, an ice cream with cream on top.
How to apply?
- In this method, you calculate the volume of a cone in the same way as you calculate the volume of a cylinder. When you take the area of the base and multiply it by the height, you are “accumulating” the bottom arrays until you reach the top and create a cylinder. And since a cylinder can hold 3 cones with the same base and height, you have to multiply the result by 1 by 3 to get the cone’s volume. This is the reason for forming the above calculation.
All measurements must be in the same units.
Radius of base, height and side of cylinder. The side of the cone is measured along the edge of the cone, and the height line from the top down perpendicular to the center of the circle forms a right triangle. Hence they obey the Pythagorean theorem: (base radius) ² + (height) ² = (side) ²

Warning

Remember to divide by 3

Steps

Advice

Warning

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