Volume of Cylinder

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

What does the term 'diameter' refer to in a cylinder?

Back

The diameter is the distance across the circular base of the cylinder, passing through the center.

Front

How do you find the radius of a cylinder if you know the diameter?

Back

The radius is half of the diameter. r = diameter / 2.

Front

What is the volume of a cylinder with a radius of 4.5 inches and a height of 32 inches?

Back

V = π(4.5)²(32) ≈ 636.17 cubic inches.

Front

What is the significance of π (pi) in the volume formula of a cylinder?

Back

π is a constant approximately equal to 3.14, used to calculate the area of the circular base.

Front

If a cylinder has a height of 10 cm and a radius of 9 cm, what is its volume?

Back

V = π(9)²(10) ≈ 2543.4 cm³.

Front

What is the difference between volume and area?

Back

Volume measures the space in a 3-D object, while area measures the space in a 2-D object.

Front

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

Back

Increasing the height increases the volume, as volume is directly proportional to height.

Front

What is the volume of a cylinder with a diameter of 9 inches and a height of 32 inches?

Back

V = π(4.5)²(32) ≈ 636.17 cubic inches.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 12 cm?

Back

V = π(5)²(12) ≈ 942.48 cm³.