Công thức tính thể tích khối nón chính xác kèm ví dụ minh họa

When you are exposed to math, you will be exposed to many different types of formulas, as well as different ways of calculating. In which the formula for volume of cone is one of the compulsory formulas in the curriculum.

What is the formula for calculating the volume of a cone? What information do you need to know when calculating the volume of a cone? The following article will help you learn a formula for the volume of a cone.

Overview of cones

Before learning about how to calculate the volume of a cone, here is some general information about cones to help you recall the basics of cones.

1. Definition

A cone is a shape in a 3-dimensional geometry. Conical surfaces consist of a flat surface and a curved surface, both of which are directed upwards. The cone is divided into two parts, the top and the bottom. The bottom part is a flat circle.

In life, you come across many cone-shaped objects such as birthday hats, ice cream cones, conical hats, ….

Definition of a cone

2. Types of cones

Based on the position of the vertex lying flat or lying on the side, you can divide the cones into 3 different types:

  • Round cone: A cone whose top is perpendicular to the base, which is also the center of the circle.
  • Truncated cone: A truncated cone is a shape that has no top, you will see this shape has 2 parallel circles.
  • Oblique cone: A cone whose top is not perpendicular to the center of the base circle. The drag point of the oblique cone is not fixed but can be pulled from any point, but not from the center of the bottom circle.
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3. Properties of the cone

Some properties of the cone

  • The cone has a triangular vertex.
  • Opposite the top is the cone bottom with a circular shape.
  • For conical geometry there are no edges.
  • The height of the cone is measured from the center of the circle to the top of the cone. In the cone there is a shaped part made by altitude and radius and they are right triangles.

Formula for volume of cone

To calculate the volume of any geometry in mathematics, it is necessary to know how to apply the formula. For calculating the volume of a cone, we have the following formula: one-third of the area of ​​the base multiplied by the height.

Or to calculate another way, “the volume of the cone is calculated by the formula ⅓ the value of Pi (where Pi = 3.14) multiplied by the square of the radius of the base of the cone and multiplied by the height of the cone.

1. Formula for volume of cone

Formula for volume of coneFormula for volume of cone

In there:

  • V is the volume of the cone
  • r: Radius of the circle
  • π: is the constant Pi = 3.14
  • h: is the altitude from the top to the bottom of the cone

2. Illustrated example

Given a cone of length 10 cm, the radius of the base circle is 8 cm. Calculate the volume of the cone.

To solve the problem we need to calculate the altitude (h) from the top to the bottom. Because the height is lowered from the top to the bottom and is perpendicular to the bottom surface, along with the length of the birth line is 10 cm. radius is 8 cm. From here, applying the Pythagorean theorem can calculate h = 6.

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Applying the above formula, we have the result that is 128pi = 401.92.

Some additional information about cones

For you to apply the best and most complete formulas, here are some information related to cones:

1. What is a cone block?

The cone is also known by another name, the cone. In the cone is divided into two parts with the inner part and the outer part. The cone combined with the inner part will give the cone block.

2. How is the truncated cone formed?

The truncated cone is formed when you rotate the square trapezoid in a circle at the position where the side is perpendicular to the base. Now we will have two circles with two different radii and parallel to each other. These are called the two bases of the truncated cone.

Above is some information about the volume of the cone that we add and want to summarize for you. With the formulas, properties, definitions and illustrative examples we provide, we hope you will apply and solve related problems. Besides, please pay attention to carefully read the question and remember the given numbers to be able to calculate the most accurate and standard way.

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