Sphere Calculator

A sphere is defined as a three-dimensional figure that is perfectly symmetrical and round in shapes like a ball or a globe. In geometry, a sphere is a three-dimensional solid figure, which is round in shape. From a mathematical perspective, it is a combination of a set of points connected with one common point at equal distances in three dimensions. 

What is Sphere Calculator?

'Sphere Calculator' is an online tool that helps to calculate the surface area and volume of the sphere. Sphere Calculator helps you to calculate the surface area and volume of the sphere within a few seconds.

Sphere Calculator

How to Use Sphere Calculator?

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

• Step 1: Choose a drop-down list to find the value of the surface area and volume of the sphere.
• Step 2: Enter the radius in the given input boxes.
• Step 3: Click on the "Calculate" button to find the value of the surface area and volume of the sphere.
• Step 4: Click on the "Reset" button to clear the field and enter the new values.

How to Find Surface Area and Volume of Sphere?

The surface area of a sphere is the number of unit squares that can be fit into it and it is measured in square units. The surface area of a sphere is calculated using the formula:

The surface area of a sphere = 4πr²

Where 'r' is the radius of the sphere.

The volume of a sphere is the capacity of the sphere or the measure of the amount of space it occupies. The volume of a Sphere can be calculated using the formula:

The volume of a sphere = 4/3 ×π × r³

Where 'r' is the radius of the sphere.

Solved Examples on Sphere Calculator

Example 1:

Find the surface area and volume of a sphere if the radius is 3 units and verify it using the online sphere calculator.

Solution:

Given: Radius = 3 units

The surface area of a sphere = 4πr²

= 4 × 3.14 × 3²

= 4 ×  3.14 ×  9

= 113.04 square units

The volume of a sphere = 4/3 ×π × r³

= 4/3 ×3.14 × 3³

= 4 ×  3.14 ×  9 

= 113.04 cubic units

Example 2:

Find the surface area and volume of a sphere if the radius is 6 units and verify it using the online sphere calculator.

Given: Radius = 6 units

The surface area of a sphere = 4πr²

= 4 × 3.14 × 6²

= 4 ×  3.14 ×  36

= 452.16 square units

The volume of a sphere = 4/3 ×π × r³

= 4/3 ×3.14 × 6³

= 4/3 ×  3.14 ×  216 

= 904.32 cubic units

Similarly, you can try the online sphere calculator to find the surface area and volume of the sphere for

• Radius = 7 units
• Radius = 11 units

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• Perimeter
• Area

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