Volume 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

What units are used to measure volume?

Back

Common units include cubic meters (m³), cubic centimeters (cm³), and cubic feet (ft³).

Front

Which label would NOT be appropriate for volume?

Back

Square miles.

Front

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

Back

Volume = π × (3 cm)² × (5 cm) = 45π cm³ ≈ 141.4 cm³.

Front

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

Back

π is commonly approximated as 3.14.

Front

How does increasing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Front

What is the relationship between the height and volume of a cylinder?

Back

Volume is directly proportional to the height; increasing the height increases the volume.

Front

If a cylinder has a height of 10 cm and a radius of 2 cm, what is its volume?

Back

Volume = π × (2 cm)² × (10 cm) = 40π cm³ ≈ 125.6 cm³.

Front

What is the volume of a cylinder with a radius of 4 m and a height of 3 m?

Back

Volume = π × (4 m)² × (3 m) = 48π m³ ≈ 150.8 m³.

Front

What is the volume of a cylinder with a radius of 5 inches and a height of 10 inches?

Back

Volume = π × (5 in)² × (10 in) = 250π in³ ≈ 785.4 in³.