# High School Math : Spheres

## Example Questions

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### Example Question #5 : How To Find The Diameter Of A Sphere

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

Explanation:

The volume of a sphere is determined by the following equation:

### Example Question #31 : Spheres

Find the radius of a sphere whose surface area is .

Not enough information to solve

Explanation:

We know that the surface area of the spere is .

Rearrange and solve for .

### Example Question #32 : Spheres

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

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 #33 : Spheres

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

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 #34 : Spheres

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