**Instructions:**

- Enter the radius and height for the cone.
- Choose the units (cm, m, km, mile, yard, inch) for both radius and height.
- Click "Calculate" to calculate the volume and surface area of the cone.
- Your calculation history will be displayed below.
- Click "Clear" to clear the inputs and results.
- Click "Copy Result" to copy the calculation result to the clipboard.

**Calculation History:**

The **Cone Calculator** is a tool that helps you calculate the various properties of a right circular cone, given any two known variables. It is a simple and easy-to-use tool that can be used by anyone who has basic knowledge of geometry.

## Concepts

The concept of calculating the properties of a cone is based on the idea of finding the volume, surface area, slant height, and other properties of a cone. The calculator does this for us automatically.

## Formulae

The formulae used by the calculator to calculate the properties of a cone are as follows:

### Volume

```
V = (1/3)πr^2h
```

where `V`

is the volume of the cone, `r`

is the radius of the base of the cone, and `h`

is the height of the cone.

### Surface Area

```
A = πr(r + l)
```

where `A`

is the surface area of the cone, `r`

is the radius of the base of the cone, and `l`

is the slant height of the cone.

### Slant Height

```
l = √(r^2 + h^2)
```

where `l`

is the slant height of the cone, `r`

is the radius of the base of the cone, and `h`

is the height of the cone.

## Benefits

The **Cone Calculator** has several benefits, including:

### Accuracy

The calculator is very accurate and can calculate the properties of a cone with a high degree of precision. It eliminates the possibility of human error in calculations.

### Speed

The calculator is fast and can calculate the properties of a cone in a matter of seconds. This saves time and effort, especially when dealing with large cones.

### Understanding

The calculator helps users understand the concept of calculating the properties of a cone. It shows the steps involved in finding the volume, surface area, slant height, and other properties of a cone.

### Real-life Applications

The concept of calculating the properties of a cone is used in many real-life situations, such as architecture, engineering, and construction. The calculator helps users apply this concept in practical situations.

## Interesting Facts

Here are some interesting facts about cones:

- A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.
- The volume of a cone is exactly one-third the volume of a cylinder with the same base and height.
- The ancient Egyptians and Greeks used cones in their architecture and art.
- The cone is one of the oldest and most basic geometric shapes, and mathematicians have studied it for thousands of years.

**References**

Here are some scholarly references that you may find useful:

- Weisstein, E. W. (2022). Cone. Wolfram MathWorld
^{1} - O’Connor, J. J., & Robertson, E. F. (2000). Cone. School of Mathematics and Statistics, University of St Andrews
^{2} - Coxeter, H. S. M. (1969). Introduction to Geometry (2nd ed.). Wiley
^{3}

Last Updated : 25 November, 2023

Emma Smith holds an MA degree in English from Irvine Valley College. She has been a Journalist since 2002, writing articles on the English language, Sports, and Law. Read more about me on her bio page.