Sec. 9-3 Surface Area of Cylinders

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

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

Define surface area.

Back

Surface area is the sum of all the areas of all the shapes that cover the surface of the object.

Front

What is the relationship between the radius and diameter of a circle?

Back

The radius is half of the diameter.

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is the lateral surface area?

Back

Lateral Surface Area = 2π(3)(5) = 30π cm².

Front

What units are used to measure surface area?

Back

Square units, such as square meters (m²) or square inches (in²).

Front

What is the lateral surface area of a cylinder with a radius of 4 m and a height of 10 m?

Back

Lateral Surface Area = 2π(4)(10) = 80π m².

Front

How do you calculate the area of the circular bases of a cylinder?

Back

Area of one base = πr², where r is the radius.

Front

What is the total surface area of a cylinder with a radius of 2 in and a height of 6 in?

Back

Total Surface Area = 2π(2)(6) + 2π(2)² = 24π + 8π = 32π in².

Front

What is the lateral surface area of a cylinder with a radius of 5 cm and a height of 12 cm?

Back

Lateral Surface Area = 2π(5)(12) = 120π cm².