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Geometry for Kids6 chapters | 45 lessons

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Lesson Transcript

Instructor:
*Allison Petrovic*

Allison has experience teaching high school and college mathematics and has a master's degree in mathematics education.

A pop can, a container of Pringles, and a can of delicious soup all have something in common! They are all in the shape of a cylinder! We will learn all about these shapes in this lesson.

When's the last time you had some Pringles? Yum! My favorite kind of Pringles are the salt and vinegar ones! You may have noticed that the container that Pringles come in looks different than the packages of other potato chips. Other potato chips come in plastic bags that you can just pull open pretty easily. Pringles, on the other hand, come in a tall round container that has a circular plastic lid. The shape of the container that Pringles come in is called a cylinder. Let's learn some neat things about cylinders.

A **cylinder** is a three-dimensional shape in geometry. A cylinder is round and has a top and bottom in the shape of a circle. The top and bottom are flat and always the same size. I think the best way to describe the shape of a cylinder is to think of a can of soup.

The **volume** of a cylinder tells us how much space it has on the inside of it. If you had a can of pop, the volume would be equal to how much pop fills the entire can. The volume equals pi * *r*2 * *h*, where *r* is the radius and *h* is the height.

In the formula to find the volume of a cylinder, you'll need to know the height and radius of the cylinder. The height is basically how tall it is. The radius is equal to half of the length of the diameter of its circular top or bottom. Remember also that the number pi can be rounded to 3.14.

The **surface area** of a cylinder tells us how much space covers the entire surface of the cylinder. If you were to wrap a can of Pringles with wrapping paper for a birthday gift, the amount of wrapping paper that's used would be equal to the surface area of the Pringles can. The surface area equals 2 * pi * *r*2 + 2 * pi * *r* * *h* where, again, *r* is the radius and *h* is the height. To find the surface area of a cylinder, you'll need to know the height and radius of a cylinder.

Now image that you need to cover a cylindrical piece of cheese with foil. After measuring its dimensions, you figured out that the height is 3 inches and the radius is 1 inch. In order to figure out how much foil you need to cover the entire piece of cheese, you need to calculate the surface area.

First, you need to plug in 3 for the *h* in the formula, and a 1 for *r* in the formula.

- 2 * 3.14 * 12 + 2 * 3.14 * 1 * 3 = ?

Don't forget the order of the operations (parentheses, exponents, multiplication and division, and addition and subtraction).

- 6.28 + 18.84 = 25.12

The total surface area is 25.12 square inches.

Now imagine you want to fill a jar in the shape of a cylinder with orange juice. You figured out that the jar is 12 inches tall, and its radius is 2 inches. In order to determine how much orange juice that you need to fill it completely, you need to calculate the volume of the jar.

So, you need to plug in 12 for *h* in the formula, and a 2 for *r* in the formula.

- 3.14 * 22 * 12 = ?
- 3.14 *4 * 12 = 150.72

The volume is 150.72 cubic inches.

A **cylinder** is a round three-dimensional shape with a top and bottom in the shape of a circle. The **volume** of a cylinder tells us how much space it has inside. The volume equals pi * *r*2 * *h*, where *r* is the radius and *h* is the height. The **surface area** tells us how much space it has on its surface. The surface area equals 2 * pi * *r*2 + 2 * pi * *r* * *h*.

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Geometry for Kids6 chapters | 45 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

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