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 √ (h² + r²) and the area of the circular base is π r². 

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

Surface area of the cone = π r(r +(√(h² + r²))

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 +(√ (h² + r²) )

= π × 20 (20 + √(10² + 20²))

= 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 +(√ (h² + r²) )

= π × 7 (7 + √(5² + 7²))

= 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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• Cone
• Sphere

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