C.W. 4.4: Volume and Surface Area of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

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

Back

Radius = Diameter ÷ 2.

Front

What is the height of a cylinder?

Back

The height is the distance between the two circular bases.

Front

What is the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Volume = π × (5 cm)² × (10 cm) = 250π cm³ ≈ 785.4 cm³.

Front

What units are used to measure volume?

Back

Cubic units, such as cubic centimeters (cm³) or cubic meters (m³).

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius.

Front

How do you calculate the surface area of the circular bases of a cylinder?

Back

Area of one base = πr²; Total area of both bases = 2πr².

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Volume = π × (3 cm)² × (7 cm) = 63π cm³ ≈ 197.82 cm³.

Front

What does it mean to round to the nearest tenth?

Back

It means to adjust a number to one decimal place.