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Math for Kids23 chapters | 325 lessons

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Instructor:
*Dina Albert*

When you wake up in the morning, you may fill a glass with orange juice, water or milk. If so, you are already using a cylinder and dealing with volume. In this lesson, we will learn to calculate the volume of cylinders.

You might not notice, but cylinders are part of your everyday life. Soda cans and small candles like the ones shown, are cylinders. Even a toilet paper roll is a cylinder.

A **cylinder** is an object with curved sides and a top and bottom made of flat circles.

If you want to figure out how much soda is in a can or how much water you can pour into a cup, you are thinking about **volume**.

**Volume** is the amount of space an object takes up, and this is measured in **cubic units**. To find volume for a cylinder, we first find the area of the base, or the flat top or bottom of the cylinder, and then multiply it by the height.

The base of a cylinder is a circle, so we need to calculate the area of the circle first. The equation for the area of a circle is:

- area (a) = pi * r^2

*r* stands for radius, and pi = 3.14. Remember that radius measures the distance from the edge of the circle to its center. Pi is a special number that can be used to figure out the area of a circle.

Let's look at this cylinder, which has a radius of 2 inches. We will first find the area of the bottom circle using the information we know.

Now we know that the area of the base is 12.56 inches squared, but that is just the base. What about the rest of the cylinder? To find out how much space makes up the entire cylinder, we now take the area of the base and multiply it by the height. Our cylinder has a height of 5 inches. Let's work it out:

volume of cylinder = area of the base * the height

= 12.56 * 5

= 62.8 inches cubed

When we put all of the pieces together, the equation for figuring out the volume looks like this:

- volume = pi * r^2 * h

Let's say someone pours coffee into their mug and it overflows. They know they poured too much, and ask you to figure out exactly how much coffee they can pour into their mug without spilling over. Now that you know how to figure out the volume of a cylinder, you can easily do this by using our equation.

First you measure the mug and find that the radius (r) = 4 inches, the height (h) = 5 inches and pi = 3.14. Then you use these measurements to calculate the volume, as shown in the picture.

A **cylinder** is a three-dimensional shape that has a curved side, and flat circles for the top and the bottom.

To find the **volume** of a cylinder we need to first find the area of the base and multiply that by the height of the cylinder. We find the area of a circle by multiplying pi * r^2. Then to find the volume, we multiply the area by the height. Our final formula for the volume of a cylinder is: V = pi * r^2 * h.

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20 in chapter 2 of the course:

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Math for Kids23 chapters | 325 lessons

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