Lesson 10.2 Surface Area of Cylinders

Front

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

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

Define 'radius' in the context of a cylinder.

Back

The radius is the distance from the center of the base of the cylinder to the edge of the base.

Front

Define 'height' in the context of a cylinder.

Back

The height is the distance between the two bases of the cylinder.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Front

How do you convert square inches to square feet?

Back

To convert square inches to square feet, divide the number of square inches by 144.

Front

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its lateral surface area?

Back

Lateral Surface Area = 2πrh = 2π(3)(5) = 30π ≈ 94.25 in².

Front

What is the total surface area of a cylinder with a radius of 2 feet and a height of 4 feet?

Back

Total Surface Area = 2πr(h + r) = 2π(2)(4 + 2) = 12π ≈ 37.70 ft².

Front

What is the significance of π (pi) in cylinder calculations?

Back

π is a constant approximately equal to 3.14, used to calculate areas and circumferences related to circles.

Front

How do you find the surface area of a cylinder if only the diameter and height are given?

Back

First, find the radius by dividing the diameter by 2, then use the formulas for surface area.