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:
- A cylinder has two circular bases and a curved surface.
- The height of a cylinder is the distance between the two bases.
- 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.
- The surface area of a cylinder is the total area of the curved surface and the two bases.
- The volume of a cylinder is the amount of space inside the cylinder.
- 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.
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