Volume and surface area of cylinders

Front

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

Back

SA = 2πrh + 2πr²

Front

What does the variable 'r' represent in the cylinder formulas?

Back

The radius of the base of the cylinder.

Front

What does the variable 'h' represent in the cylinder formulas?

Back

The height of the cylinder.

Front

How do you calculate the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh.

Front

What is the total surface area of a cylinder?

Back

Total Surface Area = Lateral Surface Area + Area of the two bases.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h.

Front

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

Back

V = π(3)²(5) = 45π ≈ 141.37 cm³.

Front

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

Back

SA = 2π(4)(10) + 2π(4)² = 80π + 32π = 112π ≈ 351.86 m².

Front

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

Back

Diameter = 2 × Radius.

Front

What is the area of the base of a cylinder?

Back

Area of Base = πr².