Volume of cylinders

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What does 'π' represent in the volume formula?

Back

π (pi) is a mathematical 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 ≈ 141.37 cm³.

Front

What is the relationship between diameter and radius in a cylinder?

Back

The diameter is twice the radius: Diameter = 2 × Radius.

Front

How do you convert the diameter of a cylinder to radius?

Back

Radius = Diameter / 2.

Front

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

Back

Volume = π(4 cm)²(10 cm) = 160π cm³ ≈ 502.65 cm³.

Front

What is the volume of a cylinder with a height of 7 in and a radius of 3 in?

Back

Volume = π(3 in)²(7 in) = 63π in³ ≈ 197.82 in³.

Front

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

Back

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

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 2 cm?

Back

Volume = π(5 cm)²(2 cm) = 50π cm³ ≈ 157.08 cm³.

Front

How do you find the radius of a cylinder if you know the volume and height?

Back

Rearrange the volume formula: Radius = √(Volume / (π × Height)).