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.

◂Math Worksheets and Study Guides Fourth Grade. Number Line

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Explore numbers less than 0 by extending the number line and through familiar applications.

Compute fluently and make reasonable estimates.

Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 4 Focal Points (NCTM)

Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. Students develop understandings of strategies for multi-digit division by using models that represent division as the inverse of multiplication, as partitioning, or as successive subtraction. By working with decimals, students extend their ability to recognize equivalent fractions. Students' earlier work in grade 3 with models of fractions and multiplication and division facts supports their understanding of techniques for generating equivalent fractions and simplifying fractions.