Surface Area of A Cylinder

Front

What is the total surface area formula for 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

What is the lateral surface area of a cylinder?

Back

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

Front

How do you calculate the area of the circular base of a cylinder?

Back

Area = πr².

Front

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

Back

SA = 2π(3)(5) + 2π(3)² = 30π + 18π = 48π ≈ 150.8 cm².

Front

What is the unit of measurement for surface area?

Back

Square units (e.g., cm², m², in²).

Front

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

Back

Increasing the height increases the lateral surface area and the total surface area.

Front

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

Back

SA = 2π(4)(10) + 2π(4)² = 80π + 32π = 112π ≈ 351.86 in².

Front

What is the relationship between the radius and the surface area of a cylinder?

Back

The surface area increases with the square of the radius.