Surface Area of Cylinders

Front

What is surface area?

Back

The sum of all the areas of all the shapes that cover the surface of the object.

Front

The radius is ___________ of the diameter?

Back

one - half

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 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

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 = 2πrh = 2 * 3.14 * 3 * 5 = 94.2 square centimeters.

Front

What does π (pi) represent in geometry?

Back

π (pi) is a constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

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

Back

Diameter = 2 * radius.

Front

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

Back

Lateral Surface Area = 2πrh = 2 * 3.14 * 4 * 10 = 251.2 square centimeters.

Front

What is the total surface area of a cylinder with a height of 7 cm and a radius of 2 cm?

Back

Total Surface Area = 2πr(h + r) = 2 * 3.14 * 2 * (7 + 2) = 56.52 square centimeters.

Front

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

Back

The radius is half of the diameter.