Volume of Cylinder

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

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

Back

The radius of the base of the cylinder.

Front

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

Back

The height of the cylinder.

Front

How do you calculate the volume of a cylinder with a radius of 2 m and a height of 5 m?

Back

V = π(2)²(5) = 20π ≈ 62.8 m³.

Front

If the diameter of a cylinder is 4 m, what is the radius?

Back

The radius is 2 m (radius = diameter/2).

Front

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

Back

V = π(3)²(4) = 36π ≈ 113.1 m³.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Front

If a cylinder has a height of 10 m and a radius of 1 m, what is its volume?

Back

V = π(1)²(10) = 10π ≈ 31.4 m³.

Front

What is the volume of a cylinder with a height of 3 m and a diameter of 3 m?

Back

V = π(1.5)²(3) = 21.2 m³.

Front

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

Back

Increasing the height increases the volume proportionally.