volume of cylinders

Front

What is the formula to find the volume of a cylinder?

Back

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

Front

What does 'volume' mean in geometry?

Back

Volume is the amount of space occupied by a three-dimensional object.

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) ≈ 141.4 cm³.

Front

What is the unit of measurement for volume?

Back

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

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.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 4 inches?

Back

Volume = π × (2 in)² × (4 in) ≈ 25.1 in³.

Front

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

Back

The volume increases with the square of the radius; if the radius doubles, the volume increases by four times.

Front

What is the height of a cylinder?

Back

The height is the distance between the two circular bases of the cylinder.

Front

If the volume of a cylinder is 100 cm³ and the height is 5 cm, what is the radius?

Back

Radius = √(Volume / (π × height)) = √(100 cm³ / (π × 5 cm)) ≈ 2.52 cm.

Front

What is π (pi)?

Back

π is a mathematical constant approximately equal to 3.14, used in calculations involving circles.