Volume of Cylinder

Front

What is volume?

Back

The amount of space in a 3-D object.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, 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

V = π(5)²(10) = 250π ≈ 785.4 cubic cm.

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius (d = 2r).

Front

How do you find the radius if you know the diameter?

Back

Radius = Diameter / 2.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 20 cm?

Back

V = π(5)²(20) = 500π ≈ 1570 cubic cm.

Front

What does π (pi) represent in volume calculations?

Back

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

Front

If the height of a cylinder is doubled, how does that affect the volume?

Back

The volume also doubles, since volume is directly proportional to height.

Front

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

Back

V = π(3)²(4) = 36π ≈ 113.1 cubic inches.

Front

What is the unit of measurement for volume?

Back

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