# High School Math : How to find the radius of a sphere

## Example Questions

### Example Question #152 : Solid Geometry

Find the radius of a sphere whose surface area is .

Possible Answers:

Not enough information to solve

Correct answer:

Explanation:

We know that the surface area of the spere is .

Rearrange and solve for .

### Example Question #153 : Solid Geometry

What is the radius of a sphere that has a surface area of ?

Possible Answers:

Correct answer:

Explanation:

The standard equation to find the area of a sphere is  where  denotes the radius. Rearrange this equation in terms of :

To find the answer, substitute the given surface area into this equation and solve for the radius:

### Example Question #154 : Solid Geometry

Given that the volume of a sphere is , what is the radius?

Possible Answers:

Correct answer:

Explanation:

The standard equation to find the volume of a sphere is

where  denotes the radius. Rearrange this equation in terms of :

Substitute the given volume into this equation and solve for the radius:

### Example Question #155 : Solid Geometry

What is the radius of a sphere with a volume of ?

Possible Answers:

Correct answer:

Explanation: