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 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

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

Back

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

Front

What is the difference between radius and diameter?

Back

The radius is half the diameter; the diameter is the distance across the circle through its center.

Front

How do you convert diameter to radius?

Back

Radius = Diameter ÷ 2.

Front

What is the volume of a cylinder with a height of 10 cm and a diameter of 4 cm?

Back

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

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and milliliters (mL).

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

Front

What is the volume of a cylinder with a radius of 1 inch and a height of 6 inches?

Back

Volume = π × (1 in)² × (6 in) = 6π in³ ≈ 18.8 in³.

Front

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

Back

Volume = π × (4 cm)² × (3 cm) = 48π cm³ ≈ 150.8 cm³.