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

How do you calculate 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 does 'lateral surface area' refer to in the context of a cylinder?

Back

Lateral surface area refers to the area of the curved surface of the cylinder, excluding the top and bottom bases.

Front

If a cylinder has a diameter of 6 inches, what is its radius?

Back

The radius is half of the diameter, so the radius is 3 inches.

Front

What is the height of a cylinder if its lateral surface area is 100 in² and the radius is 5 inches?

Back

Using the formula 100 = 2π(5)h, the height h can be calculated as h = 100 / (10π) ≈ 3.18 inches.

Front

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

Back

Lateral Surface Area = 2π(4)(10) = 80π cm² ≈ 251.33 cm².

Front

What is the total surface area of a cylinder with a radius of 2 m and a height of 5 m?

Back

Total Surface Area = 2π(2)(5 + 2) = 2π(2)(7) = 28π m² ≈ 87.96 m².

Front

How does increasing the height of a cylinder affect its lateral surface area?

Back

Increasing the height increases the lateral surface area proportionally, as it is directly related to height.

Front

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

Back

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

Front

If a cylinder has a radius of 3 inches and a height of 4 inches, what is its lateral surface area?

Back

Lateral Surface Area = 2π(3)(4) = 24π in² ≈ 75.40 in².