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

What does the term 'lateral surface area' refer to?

Back

The area of the curved surface of a cylinder, excluding the top and bottom bases.

Front

What does the term 'total surface area' refer to?

Back

The sum of the lateral surface area and the area of the two circular bases of the cylinder.

Front

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

Back

Lateral Surface Area = 2πrh = 2π(3)(5) = 30π in².

Front

How do you calculate the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the area of the base of a cylinder with a radius of 4 inches?

Back

Area = π(4)² = 16π in².

Front

If a cylinder has a height of 10 inches and a radius of 2 inches, what is its total surface area?

Back

Total Surface Area = 2πr(h + r) = 2π(2)(10 + 2) = 48π in².

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

In the context of cylinders, what is the significance of the height?

Back

The height determines how tall the cylinder is and affects both the lateral and total surface area.