Surface Area of Cylinders

Front

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

Back

SA = 2πrh + 2πr²

Front

What does 'r' represent in the surface area formula of a cylinder?

Back

The radius of the base of the cylinder.

Front

What does 'h' represent in the surface area formula of a cylinder?

Back

The height of the cylinder.

Front

Calculate the total surface area of a cylinder with radius 3 m and height 5 m.

Back

SA = 2π(3)(5) + 2π(3)² = 30π + 18π = 48π ≈ 150.8 m².

Front

What is the lateral surface area of a cylinder?

Back

The area of the curved surface, calculated as SA = 2πrh.

Front

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

Back

SA = 2π(4)(10) = 80π ≈ 251.3 cm².

Front

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

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

How do you convert the surface area from square meters to square centimeters?

Back

Multiply by 10,000 (1 m² = 10,000 cm²).

Tags

CCSS.6.G.A.4

Front

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

Back

SA = 2π(2)(5) + 2π(2)² = 20π + 8π = 28π ≈ 87.96 in².

Front

What is the total surface area of a cylinder with a radius of 7 cm and a height of 3 cm?

Back

SA = 2π(7)(3) + 2π(7)² = 42π + 98π = 140π ≈ 439.82 cm².