SURFACE AREA OF CYLINDERS

Front

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

Back

Lateral Surface Area (SA) = 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 (SA) = 2πrh + 2πr², where r is the radius and h is the height.

Front

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

Back

Lateral Surface Area = 2π(3)(5) = 30π ≈ 94.25 cm².

Front

What is the volume formula for a cylinder?

Back

Volume (V) = πr²h, where r is the radius and h is the height.

Front

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

Back

Radius (r) = Diameter (d) / 2.

Front

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

Back

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

Front

If a cylinder has a height of 10 cm and a radius of 4 cm, what is its total surface area?

Back

Total Surface Area = 2π(4)(10) + 2π(4)² = 80π + 32π = 112π ≈ 351.86 cm².

Front

What units are used for measuring the surface area of a cylinder?

Back

Surface area is measured in square units, such as cm² or m².

Front

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

Back

Lateral Surface Area = 2π(2)(6) = 24π ≈ 75.4 cm².

Front

What is the total surface area of a cylinder with a radius of 5 cm and a height of 3 cm?

Back

Total Surface Area = 2π(5)(3) + 2π(5)² = 30π + 50π = 80π ≈ 251.33 cm².