Surface Area of Cylinders

In this video, Mr. J explains how to find the surface area of a cylinder. He begins by defining surface area and then uses a visual example of a cylinder with a given height and radius. The video includes a detailed explanation of the formula for surface area, which involves calculating the area of the circular bases and the rectangle formed by the cylinder's side. Mr. J demonstrates the calculation process step-by-step, using both the exact value of pi and its rounded version. The video concludes with the final surface area result, emphasizing the importance of understanding each component of the formula.

What is the surface area of a 3D figure?

• The weight of the figure

• The total area of the outside part or layer

• The volume of the figure

• The length of the figure

What is the height of the example cylinder?

• 8 inches

• 10 inches

• 5 inches

• 3 inches

What is the radius of the base of the example cylinder?

• 2 inches

• 3 inches

• 4 inches

• 5 inches

Tags

CCSS.6.G.A.4

What does the net of a cylinder help us visualize?

• The volume of the cylinder

• The different parts that make up the cylinder

• The height of the cylinder

• The weight of the cylinder

Tags

CCSS.7.G.B.4

What is the formula for the area of a circle?

• πd

• 2πrh

• πr^2

• 2πr

Tags

CCSS.7.G.B.6

Why do we multiply the area of one base by two in the surface area formula?

• To simplify the calculation

• To find the volume

• Because there are two bases

• To find the height

What does 2πr represent in the surface area formula?

• The height of the cylinder

• The area of the base

• The circumference of the base

• The volume of the cylinder

What is the first step in simplifying the surface area formula?

• Find the circumference

• Add the areas of the bases

• Square the radius

• Multiply the height by the radius

What is the final surface area of the example cylinder in square inches?

• 207.35

• 200.50

• 210.25

• 205.75

Tags

CCSS.3.MD.C.6

What unit is used for the final surface area?

• Cubic inches

• Square inches

• Inches

• Centimeters

Tags

CCSS.3.MD.C.6