# High School Math : How to find the volume of a cylinder in pre-algebra

## Example Questions

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### Example Question #1 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a circular side with a radius of  and a length of ?

Explanation:

To find the volume of a cylinder we must know the equation for the volume of a cylinder which is

In this example the length is  and the radius is  so our equation will look like this

We then square the  to get .

Then perform multiplication to get .

### Example Question #2 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of  and a height of ?

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or

Plug in our given numbers to solve:

### Example Question #3 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the radius of a cylinder with a volume of  and a height of ?

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or .

Plug in our given values to solve:

Divide both sides by .

Divide both sides by .

Take the square root of both sides:

### Example Question #4 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the height of a cylinder with a volume of  and a radius of ?

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or .

Plug in our given values to solve:

Divide both sides by :

### Example Question #5 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of  and a height of ?

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or .

Plug in our given values to solve:

### Example Question #6 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of  and a height of ?

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or .

Plug in our given values to solve:

### Example Question #7 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the radius of a cylinder with a volume of  and a height of ?

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or .

Plug in our given values to solve:

Divide both sides by .

Divide both sides by .

Take the square root of both sides:

### Example Question #1 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of  and a height of ?

Explanation:

When thinking about volume, think of it as a stack of something. In this case, a cylinder is a stack of circles. We want the area of the bottom circle times the height, or .

Plug in our given information and solve:

### Example Question #9 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of  and a height of ?

Explanation:

When thinking about volume, think of it as a stack of something. In this case, a cylinder is a stack of circles. We want the area of the bottom circle times the height, or .

Plug in and solve:

### Example Question #10 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of  and a height of ?