Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analysing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualise equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analysing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualise equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Cylinder Volume Word Problems

Cylinder Volume Word Problems

Connect word problems, pictures, and the formula for the volume of a cylinder in this activity.

GeoGebra Content Team

Author:

GeoGebra Content Team

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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

When you increase the value of the radius, how does the volume change?

Text and maths input

Open-ended question 2

When you increase the value of the height, how does the volume change?

Text and maths input

Open-ended question 3

Which has a greater effect on the value of the volume: the radius or the height? Why?

Text and maths input

GeoGebra Content Team

Author:

GeoGebra Content Team

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Explore more

Prerequisite Resources

Practice

GR. 6-8

Using Substitution to Evaluate Expressions

Exploration

GR. 6-8

Volumes of Cylinders

More from Volume

Exploration

GR. 6-8

Volumes of Rectangular Prisms

Exploration

GR. 6-8

Connecting Volumes of Pyramids and Prisms Using Visual Models

Exploration

GR. 4-5

Composing Prisms by Stacking Cubes

Next Resources

Exploration

GR. 6-8

Discovering the Formula for the Volume of a Sphere

Exploration

GR. 6-8

Using the Formula for the Volume of a Sphere

Practice

GR. 6-8

Calculating the Volume of a Sphere