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# Surface Area of a Cone Calculator

A cone is a three-dimensional solid geometric figure having a circle at one end and a pointed edge at the other. The **surface area of a cone** is the amount of area occupied by the surface of a cone. A cone is a 3-D shape that has a circular base. This means the base is made up of a radius or diameter.

## What is the Surface Area of a Cone Calculator?

'Surface Area of a Cone Calculator' is an online tool that helps to calculate the surface area of the cone. The area occupied by the surface/boundary of a cone is known as the surface area of a cone. It is always measured in square units.Surface Area of a Cone Calculator helps you to calculate the surface area of the cone within a few seconds.

### Surface Area of a Cone Calculator

## How to Use the Surface Area of a Cone Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Enter the radius and height in the given input boxes.**Step 2:**Click on the "**Calculate**" button to find the value of the surface area of the cone**Step 3:**Click on the "**Reset**" button to clear the fields and enter the new values.

## How to Find the Surface Area of a Cone Calculator?

The surface area of a cone is given by the sum of the area of all the curved surfaces and circular bases. The curved surface area is equal to** **πrl (where l is equal to **√** (h^{2} + r^{2})** **and the area of the circular base is π r^{2}.

The formula to calculate the surface area of a cone is given by

**Surface area of the cone = ****π r(r +(√(h ^{2} + r^{2}))**

Where 'r' is the radius of the cone, 'he is the height of the cone.

**Solved Examples on Surface Area of a Cone Calculator**

**Example 1:**

Find the surface area of a cone with height h = 10 units and radius r = 20 units.

**Solution:**

Given: Height = 10 units and radius = 20 units

Surface area of the right cone = π r(r +(√ (h^{2} + r^{2})** **)

=** **π × 20 (20 + √(10^{2} + 20^{2}))

= 2661.6 square units

Therefore, the surface area of the cone = 2661.6 square units

**Example 2:**

Find the surface area of a cone with height h = 5 units and radius r = 7 units.

**Solution:**

Given: Height = 5 units and radius = 7 units

Surface area of the right cone = π r(r +(√ (h^{2} + r^{2})** **)

=** **π × 7 (7 + √(5^{2} + 7^{2}))

= 342.93 square units

Therefore, the surface area of the cone = 342.93 square units

Similarly, you can use the calculator to find the surface area of the cone for the following:

- Radius = 15 units and height = 16 units
- Radius = 6 units and height = 8 units

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