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 'r' represent in the volume formula of a cylinder?

Back

'r' represents the radius of the base of the cylinder.

Front

What does 'h' represent in the volume formula of a cylinder?

Back

'h' represents the height of the cylinder.

Front

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

Back

Radius = Diameter / 2.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3 cm)²(5 cm) ≈ 141.37 cm³.

Front

If the area of the base of a cylinder is 50 cm² and the height is 10 cm, what is the volume?

Back

Volume = Base Area × Height = 50 cm² × 10 cm = 500 cm³.

Front

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

Back

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

Front

How does changing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 10 cm?

Back

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

Front

If a cylinder has a volume of 1000 cm³ and a height of 10 cm, what is the area of the base?

Back

Base Area = Volume / Height = 1000 cm³ / 10 cm = 100 cm².