# Diameter of a Cone Calculator

Understanding the properties of a cone can be difficult at the best of times, which is where this diameter of a cone calculator comes into its own! **No matter the variables you have** - height, surface area, volume of a cone - your diameter won't be far away. We also explain **how to calculate the diameter of a cone** and the diameter of a cone formula in case you wish to perform the work by hand.

## Diameter of a cone formula

The diameter of a cone equation depends on a number of things, mainly **which variables you have to hand**. To illustrate this properly, we will go through them all one-by-one. To start with, we have the diameter of a cone from height and slant height:

where:

- $l$ - Slant height;
- $h$ - Height; and
- $d$ - Diameter.

This one is quite simple to remember as it relies on **using Pythagoreas' theorem** to find the radius of the base, then doubling it. Our next formula is to find the diameter of a cone from its **volume and height**:

where:

- $V$ - Volume.

As you can see, while this formula might not be too difficult to remember, **its quite difficult to calculate accurately** due to requiring both $\pi$ and a square root. That's why we made the diameter of a cone calculator! We now come to a few questions regarding area. First, we use the **lateral area and slant height** of a cone:

where:

- $A_L$ - Lateral area.

Then we use the **base area of a cone** to find the diameter:

where:

- $A_L$ - Base area.

Now, if we have **just the whole surface area of a cone and its slant height**, we can find its diameter, although we have to solve the following quadratic equation:

where:

- r - Radius; and
- A - Surface area.

You must then **take the positive root** and let $d = 2r$ get your answer. That's a lot of work, so just use our diameter of a cone calculator instead!

## How do I find the diameter of a cone?

To use the **height and volume of a cone** to find diameter:

- Multiply the volume of the cone by 3.
- Divide the resultant number by pi times the height.
- Find the square root of the result of the above division.
- Double the result of Step 3 to get the
**diameter**.

## Our other cone calculators.

While this diameter of a cone calculator answers "How to calculate the diameter of a cone?" in full, you may wish to explore other topics around the topic. In that case, please check out our other relevant tools:

## FAQ

### How do I find the volume of a cone from its diameter?

To find the volume of a cone from its diameter:

- Square the diameter.
- Multiply this square by pi and the height of the cone.
- Divide the result by 12 to get your cone volume.