Radius Of Sphere Calculator - Cuemath

Radius of Sphere Calculator

Radius of Sphere Calculator is a free online tool that helps to find radius of sphere.

What is Radius of Sphere Calculator?

'Radius of Sphere Calculator' is a free online tool that calculates the radius of a sphere when the other dimensions are given. Radius of Sphere Calculator gives you the radius of a sphere within a few seconds.

Radius of Sphere Calculator

NOTE: Enter numbers up to 3 digits only.

How to Use the Radius of Sphere Calculator?

Follow the steps given below to find the radius of a sphere.

  • Step 1: Select the option from the drop-down list for the input values of the diameter, the surface area or the volume of the sphere.
  • Step 2: Enter the value for the option chosen by you in the first step and click on "Calculate" to find the radius of the sphere.
  • Step 3: Click on "Reset" to clear the fields and enter the new value.

How to Calculate the Radius of a Sphere?

The distance from the center to any point on the circumference of a sphere is known as the radius. We know that the size of a sphere changes when the length of the radius varies. Now, let us see how to find the radius of a sphere when the other dimensions are given. When the diameter of the sphere is known, the formula used for the radius of a sphere is:

Radius = Diameter / 2

When the surface area is given, the formula used for the radius of a sphere is:

Radius = ⎷[Surface Area / (4 π)]

When the volume is given, the formula used for the radius of a sphere is:

Radius = ³⎷[3 * Volume / (4 π)]

Let us look at the following example to understand this better.

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Solved Examples on Radius of Sphere Calculator

Example 1:

If the diameter of a sphere is 7 units, find the radius.

Solution:

Diameter = 7 units

Radius = Diameter / 2

= (7/2) units

= 3.5 units

Example 2:

If the diameter of a sphere is 8 units, find the radius.

Solution:

Diameter = 8 units

Radius = Diameter / 2

= (8/2) units

= 4 units

Example 3:

If the diameter of a sphere is 21 units, find the radius.

Solution:

Diameter = 21 units

Radius = Diameter / 2

= (21/2) units

= 10.5 units

Similarly, you can use the appropriate formula to find the radius if the surface area and volume of the sphere is given.

Now, use our online radius calculator and find the radius of a sphere for the following dimensions:

  • Diameter = 15 units
  • Surface Area =100 units

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