Surface Area of a Cylinder (with review questions)

Front

What is surface area?

Back

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

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 the diameter of a cylinder is 10 cm, what is the radius?

Back

The radius is 5 cm (one-half of the diameter).

Front

What is the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

A cylinder has a height of 7.6 cm and diameter of 5.8 cm. What is the lateral surface area?

Back

138.5 cm².

Front

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

Back

The radius is one-half of the diameter.

Front

What units are used to measure surface area?

Back

Square units (e.g., cm², m²).

Front

How do you calculate the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the total surface area of a cylinder with a radius of 3 cm and height of 5 cm?

Back

Total Surface Area = 2π(3)(5 + 3) = 150.8 cm².

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.