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

How do you find the radius of a cylinder if you are given the diameter?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

What units are used to measure surface area?

Back

Square units (e.g., cm², m², in²).

Front

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

Back

Total Surface Area = 2π(3)(5 + 3) = 150.8 cm².

Front

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

Back

Lateral Surface Area = 2π(4)(10) = 251.33 in².

Front

What is the total surface area of a cylinder with a radius of 2 m and a height of 7 m?

Back

Total Surface Area = 2π(2)(7 + 2) = 56.55 m².

Front

What is the difference between total surface area and lateral surface area?

Back

Total surface area includes the areas of the two circular bases and the lateral area, while lateral surface area only includes the area around the sides.

Front

If the height of a cylinder is doubled, how does that affect the lateral surface area?

Back

The lateral surface area also doubles.

Front

What is the lateral area of a cylinder with a radius of 5 cm and a height of 8 cm?

Back

Lateral Surface Area = 2π(5)(8) = 251.33 cm².