Understanding Surface Area of a Cylinder

The video tutorial from MooMooMath explains how to find the surface area of a cylinder. It breaks down the process into two main parts: calculating the lateral area and the area of the circular bases. The lateral area is found by multiplying the diameter, pi, and height of the cylinder. The area of the circular bases is calculated using the formula pi times the radius squared, and since there are two bases, this is multiplied by two. The tutorial provides a step-by-step example using a cylinder with a height of 5 units and a radius of 2 units, resulting in a total surface area of 28 pi units squared. The video concludes with a recap of the formula and the importance of understanding the two-dimensional nature of area.

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

• Radius and circumference

• Lateral area and circular bases

• Lateral area and volume

• Height and diameter

How is the lateral area of a cylinder determined?

• By considering the side as a rectangle and using circumference

• By multiplying the diameter by the height

• By calculating the volume

• By adding the top and bottom areas

Tags

CCSS.7.G.B.4

What formula is used to calculate the area of the circular bases of a cylinder?

• Diameter times height

• Pi times radius squared

• 2 times pi times radius

• Circumference times height

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

• Diameter times pi times height plus 2 pi radius squared

• Diameter times height plus 2 pi radius

• Circumference times height plus diameter

• Pi times radius squared plus height

Tags

CCSS.7.G.B.4

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

• 2 units

• 4 units

• 6 units

• 8 units

What is the lateral area of the cylinder in the example if the height is 5 units?

• 15 pi

• 10 pi

• 20 pi

• 25 pi

How is the total surface area calculated in the example?

• By subtracting the base area from the lateral area

• By multiplying the height by the diameter

• By adding the lateral area and the area of the circular bases

• By adding the lateral area and the volume

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

• 18 pi

• 22 pi

• 32 pi

• 28 pi