# Cylinder

A **cylinder** is a solid of revolution generated by a rectangle that rotates around one of its sides.

### Axis

The axis is the fixed side about which the rectangle turns.

### Bases

The bases are the two circles that generate the sides perpendicular to the axis.

### Height

The height is the distance between the two bases.

#### Unfold of a Cylinder

### Lateral Area of a Cylinder

### Surface Area of a Cylinder

### Volume of a Cylinder

#### Examples

Calculate the quantity of sheet metal that would be needed to make 10 cylindrical canisters with a diameter of 10 cm and a height of 20 cm.

The height of a cylinder is the same length as the circumference of its base. Its measured height is 125.66 cm. Calculate the surface area and volume of the cylinder.

Four cubes of ice with an edge of 4 cm each are left to melt in a cylinderical glass with a radius of 6 cm. How high will the water rise when they have melted?

A cylindrical container with a radius of 5 cm and a height of 10 cm is filled with water. If the total mass of the filled container is 2 kg, what is the mass of the empty container?