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

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

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Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize 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

Analyzing 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

Visualize 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

Using the Formula for the Volume of a Sphere

Using the Formula for the Volume of a Sphere

Observe how the radius measure of a sphere affects the calculations of that sphere's volume.

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

How does the volume of a sphere change as the radius changes?

Text and math input

Open-ended question 2

Describe the order of operations used to find the volume of a sphere.

Text and math input

GeoGebra Content Team

Author:

GeoGebra Content Team

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Prerequisite Resources

Exploration

GR. 6-8

Calculating the Surface Area of Cylinders Using Nets

Exploration

GR. 6-8

Cylinder Volume Word Problems

Exploration

GR. 6-8

Calculating the Surface Area of Prisms Using Nets

More from Surface Area and Volume of a Sphere

Exploration

GR. 6-8

Discovering the Formula for the Volume of a Sphere

Practice

GR. 6-8

Calculating the Volume of a Sphere

Next Resources

Exploration

GR. 6-8

Exploring Scaled Area Calculations

Practice

GR. 6-8

Finding the Area of Similar Figures Using Scale Factor

Practice

GR. 6-8

Finding the Volume of Similar Figures Using Scale Factor