Cone Volume Calculation Calculator

Cone Volume Calculation

Straight

Truncated

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Solution by formula:

Cone volume formula using radius and height:

π - constant equal to (3.14); h - cone height; r - base radius of the cone.

Cone volume formula using height and base area:

h - cone height; S - base area

Truncated cone volume formula using radii and height:

π - constant equal to (3.14); r1 - radius of the top base ; r2 - radius of the bottom base; h - height of the truncated cone.

Information

Mathematics is the foundation of everything that surrounds us. It is especially important in areas such as technology, construction, and engineering. Even in middle school, children begin studying various mathematical laws, formulas, and much more. One of the most important formulas is the one used to calculate the volume of a cone. This formula is applied by professionals in many fields of activity. The formula for calculating the volume of a truncated cone is also frequently used. For convenience and accuracy of calculations, an online cone volume calculator has been created, allowing you to easily calculate the volume of a cone or a truncated cone.

A cone is a geometric body formed by connecting all rays originating from a single point, the apex of the cone, and passing through an arbitrary flat surface. Sometimes, a cone refers to a part of such a body formed by connecting all segments joining the apex and points on the flat surface (which in this case is called the base of the cone, and the cone is said to rest on this surface).

A segment dropped perpendicularly from the apex to the base plane (as well as its length) is called the height of the cone. If the base area has a finite value, the cone's volume also has a finite value and equals one-third of the product of the height and the base area. Thus, all cones resting on the same base and having their apex on a plane parallel to this base have the same volume since their heights are equal. If the cone's base is a polygon, then the cone becomes a pyramid. Therefore, pyramids are a subset of cones.

A segment connecting the apex of the cone to a point on the boundary of its base is called a generator of the cone. The set of all generators of the cone forms its lateral surface.

In professional activities, an engineer or builder cannot afford to make mistakes. This is because their error could cost someone their life. To facilitate and secure calculations in professional activities, a tool such as an online calculator has been created. It allows performing calculations of any parameters by entering initial values into the formula. The calculator provides highly accurate results, eliminating the possibility of errors during calculations. With its help, you can quickly and accurately calculate the volume of a cone in cubic meters or liters.

Three main formulas are used in this calculator:

  1. The formula for calculating the volume of a cone using the radius and height.
  2. The formula answering the question "How to find the volume of a cone using its base area and height?".
  3. The last formula allows you to find the volume of a truncated cone, knowing the radius and height.

By using our online calculator, you get the following benefits:

  • Accuracy and reliability of the calculated results, completely eliminating errors during professional activities.
  • Time savings by avoiding the need for manual calculations.
  • The interface of our calculator is designed to be as simple and user-friendly as possible.

To use our online calculator, you need to perform the following steps:

  • Choose the type of cone (straight or truncated).
  • Enter the initial data (height, radius, area).
  • After entering the necessary data, the calculator will automatically display the cone's volume.