Surface Area and Volume of Cylinders

The video tutorial explains how to calculate the surface area of a cylinder by dividing it into two parts: the lateral area and the base area. The lateral area is calculated as the circumference of the base times the height, while the base area is calculated using the formula for the area of a circle. The tutorial provides a step-by-step example to demonstrate the calculation process and emphasizes the importance of using correct units for area.

What are the two main components of the surface area of a cylinder?

• Lateral area and circular bases

• Radius and circumference

• Lateral area and volume

• Height and diameter

How is the lateral area of a cylinder related to a can's label?

• It is a circle

• It is a square

• It is a triangle

• It is a rectangle

What formula is used to calculate the circumference of a cylinder's base?

• πr²

• dπ

• 2πr

• hπ

How many circular bases does a cylinder have?

• Four

• Three

• Two

• One

What is the formula for the area of one circular base of a cylinder?

• hπ

• πr²

• 2πr

• dπ

What is the complete formula for the surface area of a cylinder?

• 2πr + h

• dπh + 2πr²

• 2πrh + πr²

• dπ + 2πr

In the example problem, what is the diameter of the cylinder if the radius is 2?

• 5

• 4

• 3

• 2

What is the lateral area of the cylinder in the example problem?

• 10π

• 20π

• 30π

• 40π

What is the total surface area of the cylinder in the example problem?

• 32π

• 28π

• 24π

• 18π

Why is the unit of surface area always squared?

• Because it is four-dimensional

• Because it is one-dimensional

• Because it is two-dimensional

• Because it is three-dimensional