Volume Calculation Flashcard

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 value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

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

Back

Volume = π × (5 cm)² × 10 cm = 785 cm³.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and cubic inches (in³).

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 diameter of 12 cm and a height of 15 cm?

Back

Volume = π × (6 cm)² × 15 cm = 1,130.4 cm³.

Front

What is the volume of a cone?

Back

Volume = (1/3) × π × r² × h.

Front

How do you calculate the volume of a cone with a radius of 3 inches and a height of 9 inches?

Back

Volume = (1/3) × π × (3 in)² × 9 in = 28.3 in³.

Front

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

Back

The volume increases linearly with height if the base area remains constant.