Lesson: Surface Areas of Cylinders Mathematics • 8th Grade

In this lesson, we will learn how to calculate surface areas of cylinders and use them to solve problems in real-life situations.

Lesson Plan

Students will be able to

understand the construction of the net of a cylinder as two circles and a rectangle,
calculate the lateral surface area of a cylinder using its height and radius (or diameter),
calculate the total surface area of a cylinder using its height and radius (or diameter),
calculate the radius of a cylinder given its surface or lateral area and its height,
calculate the height of a cylinder given its surface or lateral area and either of
- the radius of the base,
- the circumference of the base,
- the area of the base.

Lesson Video

Lesson Explainer

Lesson Playlist

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Lesson Worksheet

Q1:

The diagram below shows the net of a cylinder where is a rectangle with and . The net is formed into a cylinder by joining with , then folding over the two circles of radii 7 cm to make the top and the base.

What is the total surface area of the cylinder? Use as .

Q2:

The given diagram shows a cylinder of radius and height .

An expression for the total surface area of the cylinder is .

What does the term represent?

Factor the total surface area expression completely.

Q3:

Determine, to the nearest tenth, the lateral surface area of the cylinder shown.