Lesson 10.2 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

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 = 2π(3)(5) = 30π ≈ 94.25 in².

Front

What is the diameter of a cylinder if its radius is 4 inches?

Back

Diameter = 2 × radius = 2 × 4 = 8 inches.

Front

How do you convert feet to inches?

Back

Multiply the number of feet by 12 (1 foot = 12 inches).

Front

What is the lateral surface area of a cylinder with a radius of 2 feet and a height of 6 feet?

Back

Lateral Surface Area = 2π(2)(6) = 24π ≈ 75.4 ft².

Front

What is the total surface area of a cylinder with a radius of 1 inch and a height of 10 inches?

Back

Total Surface Area = 2π(1)(10 + 1) = 22π ≈ 69.08 in².

Front

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

Back

The diameter is twice the radius (Diameter = 2 × Radius).

Front

If a cylindrical container has a height of 4 inches and a radius of 3 inches, what is its total surface area?

Back

Total Surface Area = 2π(3)(4 + 3) = 42π ≈ 131.88 in².

Front

What is the lateral surface area of a cylinder with a height of 7 cm and a radius of 2 cm?

Back

Lateral Surface Area = 2π(2)(7) = 28π ≈ 87.96 cm².