# Pre-Algebra : Volume of a Cylinder

## Example Questions

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### Example Question #1 : Volume Of A Cylinder

A cylinder has a radius of 4 inches and a height of 5 inches. What is the volume of the cylinder?

Explanation:

The formula for the volume of the cylinder is , where  is the radius and  is the height. Plug in the lengths we are given to solve:

The cylinder has a volume of .

### Example Question #2 : Volume Of A Cylinder

What is the volume of a cylinder with a height of 20 and a radius of 10?

Explanation:

The volume of a cylinder is given by the formula:

with  and , the equation is:

Thus, , or

### Example Question #3 : Volume Of A Cylinder

What is the volume of a cylinder with a diameter equal to  and height equal to ?

Explanation:

If the diameter is 6, then the radius is half of 6, or 3.

Plug this radius into the formula for the volume of a cylinder:

### Example Question #4 : Volume Of A Cylinder

Find the volume of the cylinder.

Jared buys a can of chicken noodle soup for dinner. The height of the can is . The radius of the can is . What is the volume of the can?

Explanation:

The correct answer to the question is .

We know that a can is a cylinder. We also know that the formula for the volume of a cylinder is .

Plug in the numbers we are given:

Once we multiply these numbers, we get .

The unit for our answer is  since we are solving a volume problem.

### Example Question #5 : Volume Of A Cylinder

Find the volume of a cylinder that has a radius of 2 inches and a height of 10 inches.

Explanation:

Height = 10

### Example Question #6 : Volume Of A Cylinder

Find the volume of a cylinder with a diameter of 1 and a height of 2.

Explanation:

Write the formula for the volume of a cylinder.

Find the radius by dividing the diameter by 2.

### Example Question #7 : Volume Of A Cylinder

The area of the circular base of a cylinder is .  The height of the cylinder is .  What is the volume of the cylinder?

Explanation:

Write the formula to find the volume of the cylinder.

The  term represents the area of the circular base.  Multiply the given area and the height to obtain the area.

### Example Question #8 : Volume Of A Cylinder

Find the volume of a cylinder if the radius is 2 and the height is 12.

Explanation:

Write the volume formula for a cylinder.

Substitute the dimensions.

### Example Question #9 : Volume Of A Cylinder

Find the volume of a cylinder with a radius and height of .

Explanation:

Write the formula for the volume of a cylinder.

Substitute the dimensions.

### Example Question #10 : Volume Of A Cylinder

Find the volume of the cylinder if the base has a circumference of  and the height is 4.

Explanation:

The base of a cylinder is a circle.  Write the circumference formula.

Substitute the circumference and find the radius.

Write the formula to find the volume for cylinders.

Substitute the dimensions.

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