Cylinder

A cylinder is a three-dimensional shape that has two parallel circular bases and a curved surface connecting the two bases.

Parts of a Cylinder

A cylinder has the following parts:

• Base: The two circular ends of the cylinder
• Height: The distance between the two bases
• Radius: The distance from the center of the base to the edge
• Diameter: The distance across the center of the base
• Surface Area: The total area of the curved surface and the two bases
• Volume: The amount of space inside the cylinder

Formulas for Calculating Cylinder Properties

To calculate the surface area and volume of a cylinder, you can use the following formulas:

Surface Area (A): 2πr₁ + 2πr₂ + 2πr₁h

Volume (V): πr²h

Where:

• r₁ and r₂ are the radii of the two bases
• h is the height of the cylinder

Study Guide

Here are some key points to remember about cylinders:

1. A cylinder has two circular bases and a curved surface.
2. The height of a cylinder is the distance between the two bases.
3. The radius is the distance from the center of the base to the edge, while the diameter is the distance across the center of the base.
4. The surface area of a cylinder is the total area of the curved surface and the two bases.
5. The volume of a cylinder is the amount of space inside the cylinder.
6. Use the formulas for surface area and volume to calculate the properties of a cylinder.

Now that you have a good understanding of cylinders, you can practice solving problems and applying these concepts to real-world situations.