### All High School Math Resources

## Example Questions

### Example Question #1 : How To Find The Radius Of A Sphere

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 #2 : How To Find The Radius Of A Sphere

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 #3 : How To Find The Radius Of A Sphere

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 #4 : How To Find The Radius Of A Sphere

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

**Possible Answers:**

**Correct answer:**

Explanation:

### All High School Math Resources

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